From 9c6e0bbecb527a0e7ae9c9a338ff7eaeabae38c2 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Sun, 18 May 2025 13:23:23 +0300 Subject: [PATCH 01/16] created folder and mds. TODO - put cyper-path-functions under cypher folder --- algorithms/bfs.md | 99 ++++++++++++++++++++++++++++++++++++++ algorithms/index.md | 42 +++++++++++++++++ algorithms/pagerank.md | 95 +++++++++++++++++++++++++++++++++++++ algorithms/sppath.md | 0 algorithms/sspath.md | 59 +++++++++++++++++++++++ algorithms/wcc | 105 +++++++++++++++++++++++++++++++++++++++++ cypher/algorithms.md | 25 ---------- 7 files changed, 400 insertions(+), 25 deletions(-) create mode 100644 algorithms/bfs.md create mode 100644 algorithms/index.md create mode 100644 algorithms/pagerank.md create mode 100644 algorithms/sppath.md create mode 100644 algorithms/sspath.md create mode 100644 algorithms/wcc delete mode 100644 cypher/algorithms.md diff --git a/algorithms/bfs.md b/algorithms/bfs.md new file mode 100644 index 0000000..d9b39f1 --- /dev/null +++ b/algorithms/bfs.md @@ -0,0 +1,99 @@ +--- +title: "BFS" +description: "BFS" +--- + +# BFS + +## Overview + +The Breadth-First Search (BFS) procedure allows you to perform a breadth-first traversal of a graph starting from a specific node. +BFS explores all the nodes at the present depth before moving on to nodes at the next depth level. +This is particularly useful for finding the shortest path between two nodes or exploring a graph layer by layer. + +## Syntax + +``` +CALL algo.bfs(start_node, max_depth, relationship) +YIELD nodes, edges +``` + +## Arguments + +| Name | Type | Description | Default | +|--------------|----------------|-----------------------------------------------------------------------------|------------| +| start_node | Node | Starting node for the BFS traversal | (Required) | +| max_depth | Integer | Maximum depth to traverse | (Required) | +| relationship | String or null | The relationship type to traverse. If null, all relationship types are used | null | + +## Returns + +| Name | Type | Description | +|-------|------|----------------------------------------------| +| nodes | List | List of visited nodes in breadth-first order | +| edges | List | List of edges traversed during the BFS | + +## Examples + +### Basic BFS Traversal + +This example demonstrates a basic BFS traversal starting from a person node. + + +### Social Network Friend Recommendations + +This example demonstrates how to use BFS to find potential friend recommendations in a social network. + +#### Setup the Graph + +``` +// Create Person nodes representing users in a social network +CREATE (alice:Person {name: 'Alice', age: 28, city: 'New York'}) +CREATE (bob:Person {name: 'Bob', age: 32, city: 'Boston'}) +CREATE (charlie:Person {name: 'Charlie', age: 35, city: 'Chicago'}) +CREATE (david:Person {name: 'David', age: 29, city: 'Denver'}) +CREATE (eve:Person {name: 'Eve', age: 31, city: 'San Francisco'}) +CREATE (frank:Person {name: 'Frank', age: 27, city: 'Miami'}) + +// Create FRIEND relationships +CREATE (alice)-[:FRIEND]->(bob) +CREATE (alice)-[:FRIEND]->(charlie) +CREATE (bob)-[:FRIEND]->(david) +CREATE (charlie)-[:FRIEND]->(eve) +CREATE (david)-[:FRIEND]->(frank) +CREATE (eve)-[:FRIEND]->(frank) +``` + +#### Find Friends of Friends (Potential Recommendations) + +``` +// Find Alice's friends-of-friends (potential recommendations) +MATCH (aline:Person {name: 'Alice'}) +CALL algo.bfs(me, 2, 'FRIEND') +YIELD nodes + +// Process results to get only depth 2 connections (friends of friends) +WHERE size(nodes) >= 3 +WITH alice, nodes[2] AS potential_friend +WHERE NOT (alice)-[:FRIEND]->(potential_friend) +RETURN potential_friend +``` + +In this social network example, the BFS algorithm helps find potential friend recommendations by identifying people who are connected to Alice's existing friends but not directly connected to Alice yet. + + +## Performance Considerations + +- **Indexing:** Ensure properties used for finding your starting node are indexed for optimal performance +- **Maximum Depth:** Choose an appropriate max_depth value based on your graph's connectivity; large depths in highly connected graphs can result in exponential growth of traversed nodes +- **Relationship Filtering:** When applicable, specify the relationship type to limit the traversal scope +- **Memory Management:** Be aware that the procedure stores visited nodes in memory to avoid cycles, which may require significant resources in large, densely connected graphs + +## Error Handling + +Common errors that may occur: + +- **Null Starting Node:** If the start_node parameter is null, the procedure will raise an error; ensure your MATCH clause successfully finds the starting node +- **Invalid Relationship Type:** If you specify a relationship type that doesn't exist in your graph, the traversal will only include the starting node +- **Memory Limitations:** For large graphs with high connectivity, an out-of-memory error may occur if too many nodes are visited +- **Result Size:** If the BFS traversal returns too many nodes, query execution may be slow or time out; in such cases, try reducing the max_depth or filtering by relationship types diff --git a/algorithms/index.md b/algorithms/index.md new file mode 100644 index 0000000..019984e --- /dev/null +++ b/algorithms/index.md @@ -0,0 +1,42 @@ +# FalkorDB Algorithms Overview + +FalkorDB offers a suite of graph algorithms optimized for high-performance graph analytics. +These algorithms are accessible via the `CALL algo.()` interface and are built for speed and scalability using matrix-based computation. + +This overview summarizes the available algorithms and links to their individual documentation. + +## Table of Contents + +- [Pathfinding Algorithms](#pathfinding-algorithms) +- [Centrality Measures](#centrality-measures) +- [Community Detection](#community-detection) + +--- + +## Pathfinding Algorithms + +- **[BFS](./algo_bfs.md)** + Performs a breadth-first search starting from a source node and optionally stopping at target nodes or maximum depth. + +- **[SPPATH](./algo_spath.md)** + Computes the shortest paths between a source and one or more destination nodes. + +- **[SSPATH](./algo_sspath.md)** + Enumerates all paths from a single source node to other nodes, based on constraints like edge filters and depth. + +## Centrality Measures + +- **[PageRank](./algo_pagerank.md)** + Computes the PageRank score of each node in the graph, representing its influence based on the structure of incoming links. + +## Community Detection + +- **[WCC (Weakly Connected Components)](./algo_wcc.md)** + Finds weakly connected components in a graph, where each node is reachable from others ignoring edge directions. + +--- + +These procedures are part of FalkorDB's built-in algorithm library and are invoked using the `CALL algo.(config)` syntax. +For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher). + +For feedback or contributions, visit [FalkorDB on GitHub](https://github.com/FalkorDB/docs). \ No newline at end of file diff --git a/algorithms/pagerank.md b/algorithms/pagerank.md new file mode 100644 index 0000000..a97b76a --- /dev/null +++ b/algorithms/pagerank.md @@ -0,0 +1,95 @@ +--- +title: "PageRank" +description: "PageRank" +--- + +# PageRank + +## Introduction + +PageRank is an algorithm that measures the importance of each node within the graph based on the number of incoming relationships and the importance of the corresponding source nodes. +The algorithm was originally developed by Google's founders Larry Page and Sergey Brin during their time at Stanford University. + +## Algorithm Overview + +PageRank works by counting the number and quality of relationships to a node to determine a rough estimate of how important that node is. +The underlying assumption is that more important nodes are likely to receive more connections from other nodes. + +The algorithm assigns each node a score, where higher scores indicate greater importance. +The score for a node is derived recursively from the scores of the nodes that link to it, with a damping factor typically applied to prevent rank sinks. + +## Syntax + +The PageRank procedure has the following call signature: + +```cypher +CALL pagerank.stream( + [label], + [relationship] +) +YIELD node, score +``` + +### Parameters + +| Name | Type | Default | Description | +|----------------|--------|---------|------------------------------------------------------------------------------| +| `label` | String | null | The label of nodes to run the algorithm on. If null, all nodes are used. | +| `relationship` | String | null | The relationship type to traverse. If null, all relationship types are used. | + +### Yield + +| Name | Type | Description | +|---------|-------|--------------------------------------| +| `node` | Node | The node processed by the algorithm. | +| `score` | Float | The PageRank score for the node. | + +## Examples + +### Unweighted PageRank + +First, let's create a sample graph representing a citation network between scientific papers: + +```cypher +CREATE + (paper1:Paper {title: 'Graph Algorithms in Database Systems'}), + (paper2:Paper {title: 'PageRank Applications'}), + (paper3:Paper {title: 'Data Mining Techniques'}), + (paper4:Paper {title: 'Network Analysis Methods'}), + (paper5:Paper {title: 'Social Network Graph Theory'}), + + (paper2)-[:CITES]->(paper1), + (paper3)-[:CITES]->(paper1), + (paper3)-[:CITES]->(paper2), + (paper4)-[:CITES]->(paper1), + (paper4)-[:CITES]->(paper3), + (paper5)-[:CITES]->(paper2), + (paper5)-[:CITES]->(paper4) +``` + +Now we can run the PageRank algorithm on this citation network: + +```cypher +CALL pagerank.stream('Paper', 'CITES') +YIELD node, score +RETURN node.title AS paper, score +ORDER BY score DESC +``` + +Expected results: + +| paper | score | +|--------------------------------------|-------| +| Graph Algorithms in Database Systems | 0.43 | +| Data Mining Techniques | 0.21 | +| PageRank Applications | 0.19 | +| Network Analysis Methods | 0.14 | +| Social Network Graph Theory | 0.03 | + + +## Usage Notes + +**Interpreting scores**: + - PageRank scores are relative, not absolute measures + - The sum of all scores in a graph equals 1.0 + - Scores typically follow a power-law distribution diff --git a/algorithms/sppath.md b/algorithms/sppath.md new file mode 100644 index 0000000..e69de29 diff --git a/algorithms/sspath.md b/algorithms/sspath.md new file mode 100644 index 0000000..958c879 --- /dev/null +++ b/algorithms/sspath.md @@ -0,0 +1,59 @@ +--- + +title: "algo.SSpaths" +description: "Explore all shortest paths from a single source node with weight, cost, and length constraints." +--- + +# `algo.SSpaths` - Single Source Paths + +The `algo.SSpaths` procedure returns all shortest paths from a **source node** to multiple reachable nodes, subject to constraints like cost, path length, and number of paths to return. + +## Syntax + +```cypher +CALL algo.SSpaths({ + sourceNode: , + relTypes: [], + weightProp: , // optional + costProp: , // optional + maxCost: , // optional + maxLen: , // optional + relDirection: "outgoing", // or "incoming", "both" + pathCount: +}) +YIELD path, pathWeight, pathCost +``` + +## Parameters + +Same as `algo.SPpaths`, except `targetNode` is omitted. + +## Example: All Shortest Paths by Distance (up to 10 km) + +```cypher +MATCH (a:City{name:'A'}) +CALL algo.SSpaths({ + sourceNode: a, + relTypes: ['Road'], + costProp: 'dist', + maxCost: 10, + pathCount: 1000 +}) +YIELD path, pathCost +RETURN pathCost, [n in nodes(path) | n.name] AS pathNodes +ORDER BY pathCost +``` + +## Example: Top 5 Shortest Paths from A by Distance + +```cypher +MATCH (a:City{name:'A'}) +CALL algo.SSpaths({ + sourceNode: a, + relTypes: ['Road'], + weightProp: 'dist', + pathCount: 5 +}) +YIELD path, pathWeight, pathCost +RETURN pathWeight, pathCost, [n in nodes(path) | n.name] AS pathNodes +ORDER BY pathWeight \ No newline at end of file diff --git a/algorithms/wcc b/algorithms/wcc new file mode 100644 index 0000000..cfcbf50 --- /dev/null +++ b/algorithms/wcc @@ -0,0 +1,105 @@ +--- +title: "Weakly Connected Components (WCC)" +description: "Weakly Connected Components (WCC)" +--- + +# Weakly Connected Components (WCC) + +## Overview + +The Weakly Connected Components (WCC) algorithm identifies sets of nodes that are connected to each other, regardless of the edge directions. +Each node in a weakly connected component can reach every other node in that component if edge directions are ignored. + +WCC is a common algorithmic building block used in applications like: +- Community detection +- Data preprocessing +- Network analysis +- Identifying isolated subgraphs + +## Algorithm Details + +WCC begins with each node in its own component. +The algorithm repeatedly merges components when edges are found between them, ignoring edge directions. +This process continues until no more merges are possible, resulting in a set of disjoint communities. + +### Performance + +The time complexity of WCC is O(|V| + |E|) where: +- |V| is the number of nodes +- |E| is the number of edges + +## Syntax + +```cypher +CALL algo.wcc([config]) +``` + +### Parameters + +The procedure accepts an optional configuration `Map` with the following parameters: + +| Name | Type | Default | Description | +|---------------------|-------|------------------------|----------------------------------------------------------------------------------| +| `nodeLabels` | Array | All labels | Array of strings listing which node labels will be considered | +| `relationshipTypes` | Array | All relationship types | Array of strings specifying which relationship types are allowed to be traversed | + +### Return Values + +| Name | Type | Description | +|---------------|---------|--------------------------------------| +| `node` | Node | The current node object | +| `componentId` | Integer | The component ID the node belongs to | + +## Examples + +```cypher +CALL algo.wcc({ + nodeLabels: ["Person"], + relationshipTypes: ["KNOWS"] +}) +YIELD node, componentId +RETURN node.name, componentId +``` + +### Creating a Social Network Graph + +```cypher +// Create users in different communities +CREATE + // Community 1 + (alice:User {name: 'Alice'}), + (bob:User {name: 'Bob'}), + (charlie:User {name: 'Charlie'}), + + // Community 2 + (david:User {name: 'David'}), + (emma:User {name: 'Emma'}), + + // Community 3 + (frank:User {name: 'Frank'}) + +// Create relationships within communities +CREATE + (alice)-[:FOLLOWS]->(bob), + (bob)-[:FRIENDS_WITH]->(charlie), + (charlie)-[:FOLLOWS]->(alice), + + (david)-[:FRIENDS_WITH]->(emma) + +// Note that Frank is isolated and forms his own community +``` + +### Analyzing Social Networks + +```cypher +// Find isolated communities in a social network +CALL algo.wcc({ + nodeLabels: ["User"], + relationshipTypes: ["FOLLOWS", "FRIENDS_WITH"], +}) +YIELD componentId + +// Get community sizes +RETURN componentId AS communityId, count(*) AS communitySize +ORDER BY communitySize DESC +``` diff --git a/cypher/algorithms.md b/cypher/algorithms.md deleted file mode 100644 index c83f47d..0000000 --- a/cypher/algorithms.md +++ /dev/null @@ -1,25 +0,0 @@ ---- -title: "Algorithms" -nav_order: 20 -description: > - FalkorDB supported algorithms like BFS. -parent: "Cypher Language" ---- - -# Algorithms - -## BFS - -The breadth-first-search algorithm accepts 3 arguments: - -`source-node (node)` - The root of the search. - -`max-level (integer)` - If greater than zero, this argument indicates how many levels should be traversed by BFS. 1 would retrieve only the source's neighbors, 2 would retrieve all nodes within 2 hops, and so on. - -`relationship-type (string)` - If this argument is NULL, all relationship types will be traversed. Otherwise, it specifies a single relationship type to perform BFS over. - -It can yield two outputs: - -`nodes` - An array of all nodes connected to the source without violating the input constraints. - -`edges` - An array of all edges traversed during the search. This does not necessarily contain all edges connecting nodes in the tree, as cycles or multiple edges connecting the same source and destination do not have a bearing on the reachability this algorithm tests for. These can be used to construct the directed acyclic graph that represents the BFS tree. Emitting edges incurs a small performance penalty. From 1dcdd225a5cc3334d94f63eeda6e59b3ee637d11 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Sun, 18 May 2025 18:13:48 +0300 Subject: [PATCH 02/16] put dedicated path_algorithm.md under cypher/functions.md. clean reduncdancy in match.md. fixed links --- algorithms/index.md | 12 +- algorithms/{wcc => wcc.md} | 0 cypher/functions.md | 64 +++++- cypher/match.md | 194 ------------------ path_algorithm.md | 407 ------------------------------------- 5 files changed, 59 insertions(+), 618 deletions(-) rename algorithms/{wcc => wcc.md} (100%) delete mode 100644 path_algorithm.md diff --git a/algorithms/index.md b/algorithms/index.md index 019984e..08a6309 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -15,28 +15,28 @@ This overview summarizes the available algorithms and links to their individual ## Pathfinding Algorithms -- **[BFS](./algo_bfs.md)** +- **[BFS](./bfs.md)** Performs a breadth-first search starting from a source node and optionally stopping at target nodes or maximum depth. -- **[SPPATH](./algo_spath.md)** +- **[SPPATH](./sppath.md)** Computes the shortest paths between a source and one or more destination nodes. -- **[SSPATH](./algo_sspath.md)** +- **[SSPATH](./sspath.md)** Enumerates all paths from a single source node to other nodes, based on constraints like edge filters and depth. ## Centrality Measures -- **[PageRank](./algo_pagerank.md)** +- **[PageRank](./pagerank.md)** Computes the PageRank score of each node in the graph, representing its influence based on the structure of incoming links. ## Community Detection -- **[WCC (Weakly Connected Components)](./algo_wcc.md)** +- **[WCC (Weakly Connected Components)](./wcc.md)** Finds weakly connected components in a graph, where each node is reachable from others ignoring edge directions. --- These procedures are part of FalkorDB's built-in algorithm library and are invoked using the `CALL algo.(config)` syntax. -For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher). +For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher/functions.md#path-functions). For feedback or contributions, visit [FalkorDB on GitHub](https://github.com/FalkorDB/docs). \ No newline at end of file diff --git a/algorithms/wcc b/algorithms/wcc.md similarity index 100% rename from algorithms/wcc rename to algorithms/wcc.md diff --git a/cypher/functions.md b/cypher/functions.md index 1391e12..54cea52 100644 --- a/cypher/functions.md +++ b/cypher/functions.md @@ -198,12 +198,13 @@ This section contains information on all supported functions from the Cypher que ## Path functions -| Function | Description| -| ------------------------------------ | :----------| -| nodes(_path_) | Returns a list containing all the nodes in _path_
Returns null if _path_ evaluates to null | -| relationships(_path_) | Returns a list containing all the relationships in _path_
Returns null if _path_ evaluates to null | -| length(_path_) | Return the length (number of edges) of _path_
Returns null if _path_ evaluates to null | -| [shortestPath(...)](#shortestPath) * | Return the shortest path that resolves the given pattern | +| Function | Description| +| ----------------------------------------------| :----------| +| nodes(_path_) | Returns a list containing all the nodes in _path_
Returns null if _path_ evaluates to null | +| relationships(_path_) | Returns a list containing all the relationships in _path_
Returns null if _path_ evaluates to null | +| length(_path_) | Return the length (number of edges) of _path_
Returns null if _path_ evaluates to null | +| [shortestPath(...)](#about-path-functions) * | Return the shortest path that resolves the given pattern | +| [allShortestPaths(...)](#allShortestPaths) * | Returns all the shortest paths between a pair of entities * FalkorDB-specific extensions to Cypher @@ -324,16 +325,57 @@ The key names `latitude` and `longitude` are case-sensitive. The point constructed by this function can be saved as a node/relationship property or used within the query, such as in a `distance` function call. -### shortestPath +### About Path Functions -The `shortestPath()` function is invoked with the form: +The following graph: + +![Road network](../images/road_network.png) + +represents a road network with 7 cities (A, B, C, and so on) and 11 one-way roads. Each road has a distance (say, in kilometers) and trip time (say, in minutes). -```sh -MATCH (a {v: 1}), (b {v: 4}) RETURN shortestPath((a)-[:L*]->(b)) -``` + +#### shortestPath + +`shortestPath` returns one of the shortest paths. If there is more than one, only one is retrieved. The sole `shortestPath` argument is a traversal pattern. This pattern's endpoints must be resolved prior to the function call, and no property filters may be introduced in the pattern. The relationship pattern may specify any number of relationship types (including zero) to be considered. If a minimum number of edges to traverse is specified, it may only be 0 or 1, while any number may be used for the maximum. If 0 is specified as the minimum, the source node will be included in the returned path. If no shortest path can be found, NULL is returned. +Example Usage: Find the shortest path (by number of roads) from A to G + +```bash +GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH shortestPath((a)-[*]->(g)) as p RETURN length(p), [n in nodes(p) | n.name] as pathNodes" +1) 1) "length(p)" + 2) "pathNodes" +2) 1) 1) (integer) 3 + 2) "[A, D, F, G]" +``` + +![Road network](../images/graph_query_road.png) + +### allShortestPaths + +All `allShortestPaths` results have, by definition, the same length (number of roads). + +Example Usage: Find all the shortest paths (by number of roads) from A to G + +```bash +GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH a,g MATCH p=allShortestPaths((a)-[*]->(g)) RETURN length(p), [n in nodes(p) | n.name] as pathNodes" +1) 1) "length(p)" + 2) "pathNodes" +2) 1) 1) (integer) 3 + 2) "[A, D, F, G]" + 2) 1) (integer) 3 + 2) "[A, C, F, G]" + 3) 1) (integer) 3 + 2) "[A, D, E, G]" + 4) 1) (integer) 3 + 2) "[A, B, E, G]" +``` + + + + + ### JSON format `toJSON()` returns the input value in JSON formatting. For primitive data types and arrays, this conversion is conventional. Maps and map projections (`toJSON(node { .prop} )`) are converted to JSON objects, as are nodes and relationships. diff --git a/cypher/match.md b/cypher/match.md index 8f17c29..588c8fe 100644 --- a/cypher/match.md +++ b/cypher/match.md @@ -116,197 +116,3 @@ RETURN nodes(p) as actors" ``` This query will produce all the paths matching the pattern contained in the named path `p`. All of these paths will share the same starting point, the actor node representing Charlie Sheen, but will otherwise vary in length and contents. Though the variable-length traversal and `(:Actor)` endpoint are not explicitly aliased, all nodes and edges traversed along the path will be included in `p`. In this case, we are only interested in the nodes of each path, which we'll collect using the built-in function `nodes()`. The returned value will contain, in order, Charlie Sheen, between 0 and 2 intermediate nodes, and the unaliased endpoint. - -## All shortest paths - -The `allShortestPaths` function returns all the shortest paths between a pair of entities. - -`allShortestPaths()` is a MATCH mode in which only the shortest paths matching all criteria are captured. Both the source and the target nodes must be bound in an earlier WITH-demarcated scope to invoke `allShortestPaths()`. - -A minimal length (must be 1) and maximal length (must be at least 1) for the search may be specified. Zero or more relationship types may be specified (e.g. [:R|Q*1..3]). No property filters may be introduced in the pattern. - -`allShortestPaths()` can have any number of hops for its minimum and maximum, including zero. This number represents how many edges can be traversed in fulfilling the pattern, with a value of 0 entailing that the source node will be included in the returned path. - -Filters on properties are supported, and any number of labels may be specified. - -Example: - -```sh -GRAPH.QUERY DEMO_GRAPH -"MATCH (charlie:Actor {name: 'Charlie Sheen'}), (kevin:Actor {name: 'Kevin Bacon'}) -WITH charlie, kevin -MATCH p=allShortestPaths((charlie)-[:PLAYED_WITH*]->(kevin)) -RETURN nodes(p) as actors" -``` - -This query will produce all paths of the minimum length connecting the actor node representing Charlie Sheen to the one representing Kevin Bacon. There are several 2-hop paths between the two actors, and all of these will be returned. The computation of paths then terminates, as we are not interested in any paths of length greater than 2. - -## Single-Pair minimal-weight bounded-cost bounded-length paths - -The `algo.SPpaths` procedure returns one, _n_, or all minimal-weight, [optionally] bounded-cost, [optionally] bounded-length distinct paths between a pair of entities. Each path is a sequence of distinct nodes connected by distinct edges. - -`algo.SPpaths()` is a MATCH mode in which only the paths matching all criteria are captured. Both the source and the target nodes must be bound in an earlier WITH-demarcated scope to invoke `algo.SPpaths()`. - -Input arguments: - -* A map containing: - * `sourceNode`: Mandatory. Must be of type node - * `targetNode`: Mandatory. Must be of type node - * `relTypes`: Optional. Array of zero or more relationship types. A relationship must have one of these types to be part of the path. If not specified or empty: the path may contain any relationship. - * `relDirection`: Optional. string. one of `'incoming'`, `'outgoing'`, `'both'`. If not specified: `'outgoing'`. - * `pathCount`: Optional. Number of minimal-weight paths to retrieve. Non-negative integer. If not specified: 1 - - * `0`: retrieve all minimal-weight paths (all reported paths have the same weight) - - Order: 1st : minimal cost, 2nd: minimal length. - - * `1`: retrieve a single minimal-weight path - - When multiple equal-weight paths exist: (preferences: 1st : minimal cost, 2nd: minimal length) - - * _n_ > 1: retrieve up to _n_ minimal-weight paths (reported paths may have different weights) - - When multiple equal-weight paths exist: (preferences: 1st : minimal cost, 2nd: minimal length) - - * `weightProp`: Optional. If not specified: use the default weight: 1 for each relationship. - - The name of the property that represents the weight of each relationship (integer / float) - - If such property doesn’t exist, of if its value is not a positive numeric - use the default weight: 1 - - Note: when all weights are equal: minimal-weight ≡ shortest-path. - - * `costProp`: Optional. If not specified: use the default cost: 1 for each relationship. - - The name of the property that represents the cost of each relationship (integer / float) - - If such property doesn't exist, or if its value is not a positive numeric - use the default cost: 1 - - * `maxLen`: Optional. Maximal path length (number of relationships along the path). Positive integer. - - If not specified: no maximal length constraint. - - * `maxCost`: Optional. Positive numeric. If not specified: no maximal cost constraint. - - The maximal cumulative cost for the relationships along the path. - -Result: - -* Paths conforming to the input arguments. For each reported path: - - * `path` - the path - - * `pathWeight` - the path’s weight - - * `pathCost` - the path’s cost - - To retrieve additional information: - - * The path’s length can be retrieved with `length(path)` - - * An array of the nodes along the path can be retrieved with `nodes(path)` - - * The path’s first node can be retrieved with `nodes(path)[0]` - - * The path’s last node can be retrieved with `nodes(path)[-1]` - - * An array of the relationship's costs along the path can be retrieved with `[r in relationships(path) | r.cost]` where cost is the name of the cost property - - * An array of the relationship's weights along the path can be retrieved with `[r in relationships(path) | r.weight]` where weight is the name of the weight property - -Behavior in presence on multiple-edges: - -* multi-edges are two or more edges connecting the same pair of vertices (possibly with different weights and costs). - -* All matching edges are considered. Paths with identical vertices and different edges are different paths. The following are 3 different paths ('n1', 'n2', and 'n3' are nodes; 'e1', 'e2', 'e3', and 'e4' are edges): (n1)-[e1]-(n2)-[e2]-(n3), (n1)-[e1]-(n2)-[e3]-(n3), (n1)-[e4]-(n2)-[e3]-(n3) - -Example: - -```sh -GRAPH.QUERY DEMO_GRAPH -"MATCH (s:Actor {name: 'Charlie Sheen'}), (t:Actor {name: 'Kevin Bacon'}) -CALL algo.SPpaths( {sourceNode: s, targetNode: t, relTypes: ['r1', 'r2', 'r3'], relDirection: 'outgoing', pathCount: 1, weightProp: 'weight', costProp: 'cost', maxLen: 3, maxCost: 100} ) -YIELD path, pathCost, pathWeight -RETURN path ORDER BY pathCost" -``` - -## Single-Source minimal-weight bounded-cost bounded-length paths - -The `algo.SSpaths` procedure returns one, _n_, or all minimal-weight, [optionally] bounded-cost, [optionally] bounded-length distinct paths from a given entity. Each path is a sequence of distinct nodes connected by distinct edges. - -`algo.SSpaths()` is a MATCH mode in which only the paths matching all criteria are captured. The source node must be bound in an earlier WITH-demarcated scope to invoke `algo.SSpaths()`. - -Input arguments: - -* A map containing: - * `sourceNode`: Mandatory. Must be of type node - * `relTypes`: Optional. Array of zero or more relationship types. A relationship must have one of these types to be part of the path. If not specified or empty: the path may contain any relationship. - * `relDirection`: Optional. string. one of `'incoming'`, `'outgoing'`, `'both'`. If not specified: `'outgoing'`. - * `pathCount`: Optional. Number of minimal-weight paths to retrieve. Non-negative integer. If not specified: 1 - - This number is global (not per source-target pair); all returned paths may be with the same target. - - * `0`: retrieve all minimal-weight paths (all reported paths have the same weight) - - Order: 1st : minimal cost, 2nd: minimal length. - - * `1`: retrieve a single minimal-weight path - - When multiple equal-weight paths exist: (preferences: 1st : minimal cost, 2nd: minimal length) - - * _n_ > 1: retrieve up to _n_ minimal-weight paths (reported paths may have different weights) - - When multiple equal-weight paths exist: (preferences: 1st : minimal cost, 2nd: minimal length) - - * `weightProp`: Optional. If not specified: use the default weight: 1 for each relationship. - - The name of the property that represents the weight of each relationship (integer / float) - - If such property doesn’t exist, of if its value is not a positive numeric - use the default weight: 1 - - Note: when all weights are equal: minimal-weight ≡ shortest-path. - - * `costProp`: Optional. If not specified: use the default cost: 1 for each relationship. - - The name of the property that represents the cost of each relationship (integer / float) - - If such property doesn't exist, or if its value is not a positive numeric - use the default cost: 1 - - * `maxLen`: Optional. Maximal path length (number of relationships along the path). Positive integer. - - If not specified: no maximal length constraint. - - * `maxCost`: Optional. Positive numeric. If not specified: no maximal cost constraint. - - The maximal cumulative cost for the relationships along the path. - -Result: - -* Paths conforming to the input arguments. For each reported path: - * `path` - the path - * `pathWeight` - the path’s weight - * `pathCost` - the path’s cost - - To retrieve additional information: - - * The path’s length can be retrieved with `length(path)` - * An array of the nodes along the path can be retrieved with `nodes(path)` - * The path’s first node can be retrieved with `nodes(path)[0]` - * The path’s last node can be retrieved with `nodes(path)[-1]` - * An array of the relationship's costs along the path can be retrieved with `[r in relationships(path) | r.cost]` where cost is the name of the cost property - * An array of the relationship's weights along the path can be retrieved with `[r in relationships(path) | r.weight]` where weight is the name of the weight property - -Behavior in presence on multiple-edges: ---- -* multi-edges are two or more edges connecting the same pair of vertices (possibly with different weights and costs). -* All matching edges are considered. Paths with identical vertices and different edges are different paths. The following are 3 different paths ('n1', 'n2', and 'n3' are nodes; 'e1', 'e2', 'e3', and 'e4' are edges): (n1)-[e1]-(n2)-[e2]-(n3), (n1)-[e1]-(n2)-[e3]-(n3), (n1)-[e4]-(n2)-[e3]-(n3) - -Example: - -```sh -GRAPH.QUERY DEMO_GRAPH -"MATCH (s:Actor {name: 'Charlie Sheen'}) -CALL algo.SSpaths( {sourceNode: s, relTypes: ['r1', 'r2', 'r3'], relDirection: 'outgoing', pathCount: 1, weightProp: 'weight', costProp: 'cost', maxLen: 3, maxCost: 100} ) -YIELD path, pathCost, pathWeight -RETURN path ORDER BY pathCost" -``` diff --git a/path_algorithm.md b/path_algorithm.md deleted file mode 100644 index 43e5edb..0000000 --- a/path_algorithm.md +++ /dev/null @@ -1,407 +0,0 @@ ---- -title: "Path algorithms" -nav_order: 5 -description: "Learn how to use algo.SPpaths and algo.SSpaths to find single-pair and single-source paths" ---- - -# Path algorithms - -In v2.10 introduced two new path-finding algorithms, or more accurately, minimum-weight, optionally bounded-cost, and optionally bounded-length path-finding algorithms, `algo.SPpaths` and `algo.SSpaths`. - -`algo.SPpaths` and `algo.SSpaths` can solve a wide range of real-world problems, where minimum-weight paths need to be found. `algo.SPpaths` finds paths between a given pair of nodes, while `algo.SSpaths` finds paths from a given source node. Weight can represent time, distance, price, or any other measurement. A bound can be set on another property (e.g., finding a minimum-time bounded-price way to reach from point A to point B). Both algorithms are performant and have low memory requirements. - -For both algorithms, you can set: - -* A list of relationship types to traverse (`relTypes`). - -* The relationships' property whose sum you want to minimize (`weight`). - -* A optional relationships' property whose sum you want to bound (`cost`) and the optional bound (`maxCost`). - -* An optional bound on the path length - the number of relationships along the path (`maxLen`). - -* The number of paths you want to retrieve: either all minimal-weight paths (`pathCount` is 0), a single minimal-weight path (`pathCount` is 1), or _n_ minimal-weight paths with potentially different weights (`pathCount` is _n_). - -This topic explains which problems you can solve using these algorithms and demonstrates how to use them. - -Let's start with the following graph. - -![Road network](../images/road_network.png) - -This graph represents a road network with 7 cities (A, B, C, and so on) and 11 one-way roads. Each road has a distance (say, in kilometers) and trip time (say, in minutes). - -Let's create the graph. - -```bash -GRAPH.QUERY g "CREATE (a:City{name:'A'}), (b:City{name:'B'}), (c:City{name:'C'}), (d:City{name:'D'}), (e:City{name:'E'}), (f:City{name:'F'}), (g:City{name:'G'}), (a)-[:Road{time:4, dist:3}]->(b), (a)-[:Road{time:3, dist:8}]->(c), (a)-[:Road{time:4, dist:2}]->(d), (b)-[:Road{time:5, dist:7}]->(e), (b)-[:Road{time:5, dist:5}]->(d), (d)-[:Road{time:4, dist:5}]->(e), (c)-[:Road{time:3, dist:6}]->(f), (d)-[:Road{time:1, dist:4}]->(c), (d)-[:Road{time:2, dist:12}]->(f), (e)-[:Road{time:5, dist:5}]->(g), (f)-[:Road{time:4, dist:2}]->(g)" - ``` - -If you're using RedisInsight v2, you can create and visualize the graph by slightly modifying the above query: you'll have to assign aliases to all nodes and relationships, and return them: - -```bash -GRAPH.QUERY g "CREATE (a:City{name:'A'}), (b:City{name:'B'}), (c:City{name:'C'}), (d:City{name:'D'}), (e:City{name:'E'}), (f:City{name:'F'}), (g:City{name:'G'}), (a)-[r1:Road{time:4, dist:3}]->(b), (a)-[r2:Road{time:3, dist:8}]->(c), (a)-[r3:Road{time:4, dist:2}]->(d), (b)-[r4:Road{time:5, dist:7}]->(e), (b)-[r5:Road{time:5, dist:5}]->(d), (d)-[r6:Road{time:4, dist:5}]->(e), (c)-[r7:Road{time:3, dist:6}]->(f), (d)-[r8:Road{time:1, dist:4}]->(c), (d)-[r9:Road{time:2, dist:12}]->(f), (e)-[r10:Road{time:5, dist:5}]->(g), (f)-[r11:Road{time:4, dist:2}]->(g) RETURN a,b,c,d,e,f,g,r1,r2,r3,r4,r5,r6,r7,r8,r9,r10,r11" -``` - -![Road network](../images/graph_query_city.png) - -## Before v2.10 - -Before v2.10, you were able to solve these queries: - -* Find the shortest path (by number of roads) from A to G -* Find all the shortest paths (by number of roads) from A to G -* Find 5 shortest paths (by number of roads) from A to G -* Find 5 shortest paths (in kilometers) from A to G - -### Find the shortest path (by number of roads) from A to G - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH shortestPath((a)-[*]->(g)) as p RETURN length(p), [n in nodes(p) | n.name] as pathNodes" -1) 1) "length(p)" - 2) "pathNodes" -2) 1) 1) (integer) 3 - 2) "[A, D, F, G]" -``` - -`shortestPath` returns one of the shortest paths. If there is more than one, only one is retrieved. - -With RedisInsight v2, you can visualize a path simply by returning it. - -![Road network](../images/graph_query_road.png) - -### Find all the shortest paths (by number of roads) from A to G - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH a,g MATCH p=allShortestPaths((a)-[*]->(g)) RETURN length(p), [n in nodes(p) | n.name] as pathNodes" -1) 1) "length(p)" - 2) "pathNodes" -2) 1) 1) (integer) 3 - 2) "[A, D, F, G]" - 2) 1) (integer) 3 - 2) "[A, C, F, G]" - 3) 1) (integer) 3 - 2) "[A, D, E, G]" - 4) 1) (integer) 3 - 2) "[A, B, E, G]" -``` - -All `allShortestPaths` results have, by definition, the same length (number of roads). - -### Find 5 shortest paths (by number of roads) from A to G - -```bash -GRAPH.QUERY g "MATCH p = (a:City{name:'A'})-[*]->(g:City{name:'G'}) RETURN length(p), [n in nodes(p) | n.name] as pathNodes ORDER BY length(p) LIMIT 5" -1) 1) "length(p)" - 2) "pathNodes" -2) 1) 1) (integer) 3 - 2) "[A, B, E, G]" - 2) 1) (integer) 3 - 2) "[A, D, E, G]" - 3) 1) (integer) 3 - 2) "[A, D, F, G]" - 4) 1) (integer) 3 - 2) "[A, C, F, G]" - 5) 1) (integer) 4 - 2) "[A, D, C, F, G]" -``` - -Using the unbounded traversal pattern `(a:City{name:'A'})-[*]->(g:City{name:'G'})`, FalkorDB traverses all possible paths from A to G. `ORDER BY length(p) LIMIT 5` ensures that you collect only [up to 5 shortest paths (minimal number of relationships). This approach is very inefficient because all possible paths would have to be traversed. Ideally, you would want to abort some traversals as soon as you are sure they would not result in the discovery of shorter paths. - -### Find 5 shortest paths (in kilometers) from A to G - -In a similarly inefficient manner, you can traverse all possible paths and collect the 5 shortest paths (in kilometers). - -```bash -GRAPH.QUERY g "MATCH p = (a:City{name:'A'})-[*]->(g:City{name:'G'}) WITH p,reduce(dist=0, n IN relationships(p) | dist+n.dist) as dist return dist,[n IN nodes(p) | n.name] as pathNodes ORDER BY dist LIMIT 5" -1) 1) "dist" - 2) "pathNodes" -2) 1) 1) (integer) 12 - 2) "[A, D, E, G]" - 2) 1) (integer) 14 - 2) "[A, D, C, F, G]" - 3) 1) (integer) 15 - 2) "[A, B, E, G]" - 4) 1) (integer) 16 - 2) "[A, D, F, G]" - 5) 1) (integer) 16 - 2) "[A, C, F, G]" -``` - -Again, instead of traversing all possible paths, you would want to abort some traversals as soon as you are sure that they would not result in the discovery of shorter paths. - -## algo.SPpaths - -Finding shortest paths (in kilometers) by traversing all paths and collecting the shortest ones is highly inefficient, up to the point of being impractical for large graphs, as the number of paths can sometimes grow exponentially relative to the number of relationships. -Using the `algo.SPpaths` procedure (SP stands for _single pair_) you can traverse the graph, collecting only the required paths in the most efficient manner. - -`algo.SPpaths` receives several arguments. The arguments you used in the examples above are: - -* `sourceNode`: the source node - -* `targetNode`: the target node - -* `relTypes`: list of one or more relationship types to traverse - -* `weightProp`: the relationship's property that represents the weight (for all specified `relTypes`) - -You are looking for minimum-weight paths. The _weight of the path_ is the sum of the weights of all relationships composing the path. -If a given relationship does not have such a property or its value is not a positive integer or float, the property defaults to 1. - -The property also yields several results. The results you used in the example above are: - -* `path`: the path - -* `pathWeight`: the path's weight or sum of weightProp of all the relationships along the path - -With `algo.SPaths`, you can solve queries like this. - -### Find the shortest path (in kilometers) from A to G - -Set `weightProp` to `dist`: - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], weightProp: 'dist'} ) YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] as pathNodes" -1) 1) "pathWeight" - 2) "pathNodes" -2) 1) 1) "12" - 2) "[A, D, E, G]" -``` - -### Find the fastest path (in minutes) from A to G - -Continue as before, but now set `weightProp` to `time`. - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], weightProp: 'time'} ) YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] as pathNodes" -1) 1) "pathWeight" - 2) "pathNodes" -2) 1) 1) "10" - 2) "[A, D, F, G]" -``` - -### Find the shortest paths (in kilometers) from A to G - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], pathCount: 0, weightProp: 'dist'} ) YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] as pathNodes" -1) 1) "pathWeight" - 2) "pathNodes" -2) 1) 1) "12" - 2) "[A, D, E, G]" -``` - -In the example above, you also specified the `pathCount` argument, where `pathCount` is the number of paths to report: - -* `0`: retrieve all minimum-weight paths (all reported paths have the same weight) - -* `1`: retrieve a single minimum-weight path (default) - -* `n>1`: retrieve up to _n_ minimum-weight paths (reported paths may have different weights) - -### Find 5 shortest paths (in kilometers) from A to G - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], pathCount: 5, weightProp: 'dist'} ) YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] ORDER BY pathWeight" -1) 1) "pathWeight" - 2) "[n in nodes(path) | n.name]" -2) 1) 1) "12" - 2) "[A, D, E, G]" - 2) 1) "14" - 2) "[A, D, C, F, G]" - 3) 1) "15" - 2) "[A, B, E, G]" - 4) 1) "16" - 2) "[A, C, F, G]" - 5) 1) "16" - 2) "[A, D, F, G]" -``` - -### Find 2 shortest paths (in kilometers) from A to G, where you can reach G in up to 12 minutes - -Another interesting feature is the introduction of path constraints ('bounded-cost'). Suppose that you want to find only paths where you can reach G in 12 minutes or less. - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], pathCount: 2, weightProp: 'dist', costProp: 'time', maxCost: 12} ) YIELD path, pathWeight, pathCost RETURN pathWeight, pathCost, [n in nodes(path) | n.name] ORDER BY pathWeight" -1) 1) "pathWeight" - 2) "pathCost" - 3) "[n in nodes(path) | n.name]" -2) 1) 1) "14" - 2) "12" - 3) "[A, D, C, F, G]" - 2) 1) "16" - 2) "10" -``` - -In the example above, you added the following optional arguments: - -* `costProp`: the relationship's property that represents the _cost_. -You are looking for _minimum-weight bounded-cost_ paths. -If a given relationship does not have such property or its value is not a positive integer/float, `costProp` defaults to 1. - -* `maxCost`: the maximum cost (the bound). -If not specified, there is no maximum cost constraint. - -You also yielded: - -* `pathCost`: the path's cost or the sum of costProp of all relationships along the path. - -### Find paths from D to G, assuming you can traverse each road in both directions - -Another interesting feature is the ability to revert or ignore the relationship direction. - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'D'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], relDirection: 'both', pathCount: 1000, weightProp: 'dist'} ) YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] as pathNodes ORDER BY pathWeight" -1) 1) "pathWeight" - 2) "pathNodes" -2) 1) 1) "10" - 2) "[D, E, G]" - 2) 1) "12" - 2) "[D, C, F, G]" - 3) 1) "14" - 2) "[D, F, G]" - 4) 1) "17" - 2) "[D, A, B, E, G]" - 5) 1) "17" - 2) "[D, B, E, G]" - 6) 1) "18" - 2) "[D, A, C, F, G]" - 7) 1) "24" - 2) "[D, B, A, C, F, G]" - 8) 1) "27" - 2) "[D, C, A, B, E, G]" - 9) 1) "31" - 2) "[D, E, B, A, C, F, G]" - 10) 1) "41" - 2) "[D, F, C, A, B, E, G]" -``` - -In the example above, you added the following optional argument: - -* `relDirection`: one of `incoming`, `outgoing`, or `both`. If not specified, `relDirection` defaults to `outgoing`. - -### Find paths with length up to 4 from D to G, assuming you can traverse each road in both directions - -Suppose you want to repeat the query above but also limit the path-length (number of relationships along to path) to 4: - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'D'}),(g:City{name:'G'}) CALL algo.SPpaths( {sourceNode: a, targetNode: g, relTypes: ['Road'], relDirection: 'both', pathCount: 1000, weightProp: 'dist', maxLen: 4} ) YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] as pathNodes ORDER BY pathWeight" -1) 1) "pathWeight" - 2) "pathNodes" -2) 1) 1) "10" - 2) "[D, E, G]" - 2) 1) "12" - 2) "[D, C, F, G]" - 3) 1) "14" - 2) "[D, F, G]" - 4) 1) "17" - 2) "[D, A, B, E, G]" - 5) 1) "17" - 2) "[D, B, E, G]" - 6) 1) "18" - 2) "[D, A, C, F, G]" -``` - -In the example above, you specified the following optional constraint: - -* `maxLen`: maximum path length (number of roads along the path) - -## algo.SSpaths - -Some problems involve just one node, the source node, where you ask questions about possible paths or reachable destinations, given some constraints. - -That's what the `algo.SSpaths` procedure (SS stands for _single source_) is all about. - -`algo.SSpaths` accepts the same arguments as `algo.SPpaths`, except `targetNode`. It also yields the same results (`path`, `pathCost`, and `pathWeight`). - -### Find all paths from A if the trip is limited to 10 kilometers - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}) CALL algo.SSpaths( {sourceNode: a, relTypes: ['Road'], pathCount: 1000, costProp: 'dist', maxCost: 10} ) YIELD path, pathCost RETURN pathCost, [n in nodes(path) | n.name] as pathNodes ORDER BY pathCost" -1) 1) "pathCost" - 2) "pathNodes" -2) 1) 1) "2" - 2) "[A, D]" - 2) 1) "3" - 2) "[A, B]" - 3) 1) "6" - 2) "[A, D, C]" - 4) 1) "7" - 2) "[A, D, E]" - 5) 1) "8" - 2) "[A, B, D]" - 6) 1) "8" - 2) "[A, C]" - 7) 1) "10" - 2) "[A, B, E]" -``` - -### Find all paths from A if the trip is limited to 8 minutes - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}) CALL algo.SSpaths( {sourceNode: a, relTypes: ['Road'], pathCount: 1000, costProp: 'time', maxCost: 8} ) YIELD path, pathCost RETURN pathCost, [n in nodes(path) | n.name] as pathNodes ORDER BY pathCost" -1) 1) "pathCost" - 2) "pathNodes" -2) 1) 1) "3" - 2) "[A, C]" - 2) 1) "4" - 2) "[A, B]" - 3) 1) "4" - 2) "[A, D]" - 4) 1) "5" - 2) "[A, D, C]" - 5) 1) "6" - 2) "[A, D, F]" - 6) 1) "6" - 2) "[A, C, F]" - 7) 1) "8" - 2) "[A, D, C, F]" - 8) 1) "8" - 2) "[A, D, E]" -``` - -### Find 5 shortest paths (in kilometers) from A - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}) CALL algo.SSpaths( {sourceNode: a, relTypes: ['Road'], pathCount: 5, weightProp: 'dist', costProp: 'cost'} ) YIELD path, pathWeight, pathCost RETURN pathWeight, pathCost, [n in nodes(path) | n.name] as pathNodes ORDER BY pathWeight" -1) 1) "pathWeight" - 2) "pathCost" - 3) "pathNodes" -2) 1) 1) "2" - 2) "1" - 3) "[A, D]" - 2) 1) "3" - 2) "1" - 3) "[A, B]" - 3) 1) "6" - 2) "2" - 3) "[A, D, C]" - 4) 1) "7" - 2) "2" - 3) "[A, D, E]" - 5) 1) "8" - 2) "1" - 3) "[A, C]" -``` - -### Find 5 shortest paths (in kilometers) from A if the trip is limited to 6 minutes - -```bash -GRAPH.QUERY g "MATCH (a:City{name:'A'}) CALL algo.SSpaths( {sourceNode: a, relTypes: ['Road'], pathCount: 5, weightProp: 'dist', costProp: 'time', maxCost: 6} ) YIELD path, pathWeight, pathCost RETURN pathWeight, pathCost, [n in nodes(path) | n.name] as pathNodes ORDER BY pathWeight" -1) 1) "pathWeight" - 2) "pathCost" - 3) "pathNodes" -2) 1) 1) "2" - 2) "4" - 3) "[A, D]" - 2) 1) "3" - 2) "4" - 3) "[A, B]" - 3) 1) "6" - 2) "5" - 3) "[A, D, C]" - 4) 1) "8" - 2) "3" - 3) "[A, C]" - 5) 1) "14" - 2) "6" - 3) "[A, D, F]" -``` \ No newline at end of file From 2a65ded79d2282c1b385ba37979dbc1dfe79b77a Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Sun, 18 May 2025 18:14:51 +0300 Subject: [PATCH 03/16] added more untracked files related to previous commit --- algorithms/index.md | 7 +--- algorithms/sppath.md | 82 ++++++++++++++++++++++++++++++++++++++++++++ algorithms/wcc.md | 36 +++++++++---------- cypher/functions.md | 8 +++-- 4 files changed, 106 insertions(+), 27 deletions(-) diff --git a/algorithms/index.md b/algorithms/index.md index 08a6309..28f946b 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -24,6 +24,7 @@ This overview summarizes the available algorithms and links to their individual - **[SSPATH](./sspath.md)** Enumerates all paths from a single source node to other nodes, based on constraints like edge filters and depth. +For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher/functions.md#path-functions). ## Centrality Measures - **[PageRank](./pagerank.md)** @@ -34,9 +35,3 @@ This overview summarizes the available algorithms and links to their individual - **[WCC (Weakly Connected Components)](./wcc.md)** Finds weakly connected components in a graph, where each node is reachable from others ignoring edge directions. ---- - -These procedures are part of FalkorDB's built-in algorithm library and are invoked using the `CALL algo.(config)` syntax. -For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher/functions.md#path-functions). - -For feedback or contributions, visit [FalkorDB on GitHub](https://github.com/FalkorDB/docs). \ No newline at end of file diff --git a/algorithms/sppath.md b/algorithms/sppath.md index e69de29..790c13c 100644 --- a/algorithms/sppath.md +++ b/algorithms/sppath.md @@ -0,0 +1,82 @@ +--- +title: "algo.SPpaths" +description: "Find shortest paths between two nodes with advanced cost and length constraints." +--- + +# `algo.SPpaths` - Shortest Path (Single Pair) + +The `algo.SPpaths` procedure finds the shortest paths between a **source** and a **target** node, optionally constrained by cost, path length, and the number of paths to return. + +It is designed for efficient and scalable computation of paths in large graphs, using properties like distance, time, or price as weights. + +## Syntax + +```cypher +CALL algo.SPpaths({ + sourceNode: , + targetNode: , + relTypes: [], + weightProp: , + costProp: , // optional + maxCost: , // optional + maxLen: , // optional + relDirection: "outgoing", // or "incoming", "both" + pathCount: // 0 = all, 1 = single (default), n > 1 = up to n +}) +YIELD path, pathWeight, pathCost +``` + +## Parameters + +| Name | Type | Description | +|-----------------|----------|-------------| +| `sourceNode` | Node | Starting node | +| `targetNode` | Node | Destination node | +| `relTypes` | Array | List of relationship types to follow | +| `weightProp` | String | Property to minimize along the path (e.g., `dist`, `time`) | +| `costProp` | String | Property to constrain the total value (optional) | +| `maxCost` | Integer | Upper bound on total cost (optional) | +| `maxLen` | Integer | Max number of relationships in the path (optional) | +| `relDirection` | String | Traversal direction (`outgoing`, `incoming`, `both`) | +| `pathCount` | Integer | Number of paths to return (0 = all shortest, 1 = default, n = max number of results) | + +## Returns + +| Name | Type | Description | +|--------------|---------|-------------| +| `path` | Path | Discovered path from source to target | +| `pathWeight` | Integer | Sum of the weightProp across the path | +| `pathCost` | Integer | Sum of the costProp across the path (if used) | + +## Example: Shortest Path by Distance + +```cypher +MATCH (a:City{name:'A'}), (g:City{name:'G'}) +CALL algo.SPpaths({ + sourceNode: a, + targetNode: g, + relTypes: ['Road'], + weightProp: 'dist' +}) +YIELD path, pathWeight +RETURN pathWeight, [n in nodes(path) | n.name] AS pathNodes +``` + +## Example: Bounded Cost Path + +```cypher +MATCH (a:City{name:'A'}), (g:City{name:'G'}) +CALL algo.SPpaths({ + sourceNode: a, + targetNode: g, + relTypes: ['Road'], + weightProp: 'dist', + costProp: 'time', + maxCost: 12, + pathCount: 2 +}) +YIELD path, pathWeight, pathCost +RETURN pathWeight, pathCost, [n in nodes(path) | n.name] AS pathNodes +``` + +--- diff --git a/algorithms/wcc.md b/algorithms/wcc.md index cfcbf50..a174b6a 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -7,26 +7,25 @@ description: "Weakly Connected Components (WCC)" ## Overview -The Weakly Connected Components (WCC) algorithm identifies sets of nodes that are connected to each other, regardless of the edge directions. -Each node in a weakly connected component can reach every other node in that component if edge directions are ignored. +The Weakly Connected Components (WCC) algorithm identifies groups of nodes connected through any path, disregarding edge directions. In a weakly connected component, every node is reachable from any other node when treating all edges as undirected. -WCC is a common algorithmic building block used in applications like: +WCC serves as a common algorithm in scenarios such as: - Community detection -- Data preprocessing -- Network analysis -- Identifying isolated subgraphs +- Data cleaning and preprocessing +- Large-scale network analysis +- Detecting isolated or loosely connected subgraphs ## Algorithm Details -WCC begins with each node in its own component. -The algorithm repeatedly merges components when edges are found between them, ignoring edge directions. -This process continues until no more merges are possible, resulting in a set of disjoint communities. +WCC initializes by assigning each node to its own component. It iteratively scans for edges linking nodes across different components and merges them, ignoring the directionality of edges throughout the process. The algorithm terminates when no further merges occur, producing a collection of disjoint connected components. ### Performance -The time complexity of WCC is O(|V| + |E|) where: -- |V| is the number of nodes -- |E| is the number of edges +WCC operates with a time complexity of **O(|V| + |E|)**, where: +- **|V|** represents the total number of nodes +- **|E|** represents the total number of edges + +This linear complexity makes WCC efficient for large graphs. ## Syntax @@ -40,15 +39,16 @@ The procedure accepts an optional configuration `Map` with the following paramet | Name | Type | Default | Description | |---------------------|-------|------------------------|----------------------------------------------------------------------------------| -| `nodeLabels` | Array | All labels | Array of strings listing which node labels will be considered | -| `relationshipTypes` | Array | All relationship types | Array of strings specifying which relationship types are allowed to be traversed | +| `nodeLabels` | Array | All labels | Array of node labels to filter which nodes are included in the computation | +| `relationshipTypes` | Array | All relationship types | Array of relationship types to define which edges are traversed | ### Return Values +The procedure returns a stream of records with the following fields: -| Name | Type | Description | -|---------------|---------|--------------------------------------| -| `node` | Node | The current node object | -| `componentId` | Integer | The component ID the node belongs to | +| Name | Type | Description | +|---------------|---------|---------------------------------------------------------------------| +| `node` | Node | The node entity included in the component | +| `componentId` | Integer | Identifier of the weakly connected component the node belongs to | ## Examples diff --git a/cypher/functions.md b/cypher/functions.md index 54cea52..25a84f9 100644 --- a/cypher/functions.md +++ b/cypher/functions.md @@ -204,7 +204,7 @@ This section contains information on all supported functions from the Cypher que | relationships(_path_) | Returns a list containing all the relationships in _path_
Returns null if _path_ evaluates to null | | length(_path_) | Return the length (number of edges) of _path_
Returns null if _path_ evaluates to null | | [shortestPath(...)](#about-path-functions) * | Return the shortest path that resolves the given pattern | -| [allShortestPaths(...)](#allShortestPaths) * | Returns all the shortest paths between a pair of entities +| [allShortestPaths(...)](#about-path-functions) * | Returns all the shortest paths between a pair of entities * FalkorDB-specific extensions to Cypher @@ -352,11 +352,11 @@ GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH shortestPath((a) ![Road network](../images/graph_query_road.png) -### allShortestPaths +#### allShortestPaths All `allShortestPaths` results have, by definition, the same length (number of roads). -Example Usage: Find all the shortest paths (by number of roads) from A to G +Examples Usage: Find all the shortest paths (by number of roads) from A to G ```bash GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH a,g MATCH p=allShortestPaths((a)-[*]->(g)) RETURN length(p), [n in nodes(p) | n.name] as pathNodes" @@ -372,6 +372,8 @@ GRAPH.QUERY g "MATCH (a:City{name:'A'}),(g:City{name:'G'}) WITH a,g MATCH p=allS 2) "[A, B, E, G]" ``` +Using the unbounded traversal pattern `(a:City{name:'A'})-[*]->(g:City{name:'G'})`, FalkorDB traverses all possible paths from A to G. `ORDER BY length(p) LIMIT 5` ensures that you collect only [up to 5 shortest paths (minimal number of relationships). This approach is very inefficient because all possible paths would have to be traversed. Ideally, you would want to abort some traversals as soon as you are sure they would not result in the discovery of shorter paths. + From 3d6de6c31df3f985f0ecd8cd8a2f0f20ea1a8a5a Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Mon, 19 May 2025 11:37:57 +0300 Subject: [PATCH 04/16] (1) add algos (2) add memory usage --- algorithms/bfs.md | 22 ++++++++++++++-------- algorithms/pagerank.md | 2 ++ algorithms/sppath.md | 21 +++++++++++++++++++-- algorithms/sspath.md | 25 ++++++++++++++++++++++--- algorithms/wcc.md | 10 +++++++--- commands/graph.mamory-usage.md | 0 images/graph_bfs.png | Bin 0 -> 111835 bytes images/graph_page_rank.png | Bin 0 -> 117896 bytes images/wcc.png | Bin 0 -> 54613 bytes 9 files changed, 64 insertions(+), 16 deletions(-) create mode 100644 commands/graph.mamory-usage.md create mode 100644 images/graph_bfs.png create mode 100644 images/graph_page_rank.png create mode 100644 images/wcc.png diff --git a/algorithms/bfs.md b/algorithms/bfs.md index d9b39f1..41f7563 100644 --- a/algorithms/bfs.md +++ b/algorithms/bfs.md @@ -56,20 +56,26 @@ CREATE (eve:Person {name: 'Eve', age: 31, city: 'San Francisco'}) CREATE (frank:Person {name: 'Frank', age: 27, city: 'Miami'}) // Create FRIEND relationships -CREATE (alice)-[:FRIEND]->(bob) -CREATE (alice)-[:FRIEND]->(charlie) -CREATE (bob)-[:FRIEND]->(david) -CREATE (charlie)-[:FRIEND]->(eve) -CREATE (david)-[:FRIEND]->(frank) -CREATE (eve)-[:FRIEND]->(frank) +UNWIND [ + ['Alice', 'Bob'], + ['Alice', 'Charlie'], + ['Bob', 'David'], + ['Charlie', 'Eve'], + ['David', 'Frank'], + ['Eve', 'Frank'] +] AS pair +MATCH (a:Person {name: pair[0]}), (b:Person {name: pair[1]}) +CREATE (a)-[:FRIEND]->(b) ``` +![Graph BFS](../images/graph_bfs.png) + #### Find Friends of Friends (Potential Recommendations) ``` // Find Alice's friends-of-friends (potential recommendations) -MATCH (aline:Person {name: 'Alice'}) -CALL algo.bfs(me, 2, 'FRIEND') +MATCH (alice:Person {name: 'Alice'}) +CALL algo.bfs(alice, 2, 'FRIEND') YIELD nodes // Process results to get only depth 2 connections (friends of friends) diff --git a/algorithms/pagerank.md b/algorithms/pagerank.md index a97b76a..6f952b9 100644 --- a/algorithms/pagerank.md +++ b/algorithms/pagerank.md @@ -67,6 +67,8 @@ CREATE (paper5)-[:CITES]->(paper4) ``` +![Graph PR](../images/graph_page_rank.png) + Now we can run the PageRank algorithm on this citation network: ```cypher diff --git a/algorithms/sppath.md b/algorithms/sppath.md index 790c13c..476e813 100644 --- a/algorithms/sppath.md +++ b/algorithms/sppath.md @@ -48,7 +48,12 @@ YIELD path, pathWeight, pathCost | `pathWeight` | Integer | Sum of the weightProp across the path | | `pathCost` | Integer | Sum of the costProp across the path (if used) | -## Example: Shortest Path by Distance + +## Examples: +Lets take this Road Network Grpah as an example: +![Road network](../images/road_network.png) + +### Example: Shortest Path by Distance from City A to City G: ```cypher MATCH (a:City{name:'A'}), (g:City{name:'G'}) @@ -62,7 +67,13 @@ YIELD path, pathWeight RETURN pathWeight, [n in nodes(path) | n.name] AS pathNodes ``` -## Example: Bounded Cost Path +#### Expected Result: +| pathWeight | pathNodes | +|------------|---------------| +| `12` | [A, D, E G] | + + +### Example: Bounded Cost Path from City A to City G: ```cypher MATCH (a:City{name:'A'}), (g:City{name:'G'}) @@ -79,4 +90,10 @@ YIELD path, pathWeight, pathCost RETURN pathWeight, pathCost, [n in nodes(path) | n.name] AS pathNodes ``` +#### Expected Result: +| pathWeight | pathCost | pathNodes | +|------------|----------| --------------- | +| `16` | `10` | [A, D, F G] | +| `14` | `12` | [A, D, C F, G] | + --- diff --git a/algorithms/sspath.md b/algorithms/sspath.md index 958c879..9caf92f 100644 --- a/algorithms/sspath.md +++ b/algorithms/sspath.md @@ -26,9 +26,15 @@ YIELD path, pathWeight, pathCost ## Parameters -Same as `algo.SPpaths`, except `targetNode` is omitted. +Same as [`algo.SPpaths`](./sspath.md#syntax), except `targetNode` is omitted. -## Example: All Shortest Paths by Distance (up to 10 km) +## Examples: +Lets take this Road Network Grpah as an example: + +![Road network](../images/road_network.png) + + +### Example: All Shortest Paths by Distance (up to 10 km) ```cypher MATCH (a:City{name:'A'}) @@ -44,7 +50,20 @@ RETURN pathCost, [n in nodes(path) | n.name] AS pathNodes ORDER BY pathCost ``` -## Example: Top 5 Shortest Paths from A by Distance +#### Expected Result: +| pathCost | pathNodes | +|----------| ---------- | +| `2` | [A, D] | +| `3` | [A, B] | +| `6` | [A, D, C] | +| `7` | [A, D, E] | +| `8` | [A, B, D] | +| `8` | [A, C] | +| `10` | [A, B, E] | + +--- + +### Example: Top 5 Shortest Paths from A by Distance ```cypher MATCH (a:City{name:'A'}) diff --git a/algorithms/wcc.md b/algorithms/wcc.md index a174b6a..adfdf9c 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -52,6 +52,11 @@ The procedure returns a stream of records with the following fields: ## Examples +Lets take this Social Grpah as an example: + +![Graph BFS](../images/wcc.png) + + ```cypher CALL algo.wcc({ nodeLabels: ["Person"], @@ -78,15 +83,14 @@ CREATE // Community 3 (frank:User {name: 'Frank'}) -// Create relationships within communities -CREATE + // Create relationships within communities (alice)-[:FOLLOWS]->(bob), (bob)-[:FRIENDS_WITH]->(charlie), (charlie)-[:FOLLOWS]->(alice), (david)-[:FRIENDS_WITH]->(emma) -// Note that Frank is isolated and forms his own community + // Note that Frank is isolated and forms his own community ``` ### Analyzing Social Networks diff --git a/commands/graph.mamory-usage.md b/commands/graph.mamory-usage.md new file mode 100644 index 0000000..e69de29 diff --git a/images/graph_bfs.png b/images/graph_bfs.png new file mode 100644 index 0000000000000000000000000000000000000000..e398369a0ee73a44182b1112d795f957715d660b GIT binary patch literal 111835 zcmeFYWmH^Uvo(s7K(Ig{K+qsTJGes=+}+(Bg1bc^1b3IPr&-!VSMfNr{bueH}&RkLQzst%Bq7C}M6LxO^WLJ<=cl!t;sFolAGHGYNwymBW2 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zNqfy>B(c;F_`U1`H8Qf3SRCei{p>I00nDrb%Nr>|F7F*07b$CPNAC-2LlN`&rP7F7 z75MdafsHzmiR$VFKV+} z;5Ih(ZfNc5Tb%KZ1Ge*ZaN7?irYi$}ruRieMD7*(6(8&7S}MlH=yfbnI!Jo4udef} z!;=b|ra0<3?-LLhQczMBgN=)+tVMBG0Mj)q1#cv<%sd`KKcR>+!NojN#95 z(g%?Bvo=&Ds}DPQ$YH>56(r<$*Z;cMvIzjH2`s+ z&{OK23(R^foF57~fEk(wxP1-{--F4|v(M!#YwRPYxeqH1XpZ!D9&g|}Oy^Vdpj^US zH#{qEB`NB5EiY$zt6&UfcW|P=8p#JTa=&%Ge4&)U`9vzGtUL;+89}Mvo2HrVwLO+u zD>>r9?rm{=^U zXaF+z3!9Z-rUcmPWFl|9d;!n5&xTE}hZbsc zH$v3g*Y~*6q6%0>7PgK8DPb*$z<3VN&qOu@Rep|xnx5XI&3rc(H6=a1!$c_ig>MR$ z0nhz`u|$`$Qfl*VPQ4QF54TkC+kT|;c(a~T^IVL_1=bm6R~*Q|297 Date: Mon, 19 May 2025 11:39:14 +0300 Subject: [PATCH 05/16] small changes to algos and memory usage --- algorithms/bfs.md | 35 ++++++++++------------ algorithms/sppath.md | 1 + algorithms/sspath.md | 13 ++++++++- algorithms/wcc.md | 43 ++++----------------------- commands/graph.mamory-usage.md | 53 ++++++++++++++++++++++++++++++++++ 5 files changed, 87 insertions(+), 58 deletions(-) diff --git a/algorithms/bfs.md b/algorithms/bfs.md index 41f7563..5ad0ed7 100644 --- a/algorithms/bfs.md +++ b/algorithms/bfs.md @@ -46,26 +46,21 @@ This example demonstrates how to use BFS to find potential friend recommendation #### Setup the Graph -``` -// Create Person nodes representing users in a social network -CREATE (alice:Person {name: 'Alice', age: 28, city: 'New York'}) -CREATE (bob:Person {name: 'Bob', age: 32, city: 'Boston'}) -CREATE (charlie:Person {name: 'Charlie', age: 35, city: 'Chicago'}) -CREATE (david:Person {name: 'David', age: 29, city: 'Denver'}) -CREATE (eve:Person {name: 'Eve', age: 31, city: 'San Francisco'}) -CREATE (frank:Person {name: 'Frank', age: 27, city: 'Miami'}) - -// Create FRIEND relationships -UNWIND [ - ['Alice', 'Bob'], - ['Alice', 'Charlie'], - ['Bob', 'David'], - ['Charlie', 'Eve'], - ['David', 'Frank'], - ['Eve', 'Frank'] -] AS pair -MATCH (a:Person {name: pair[0]}), (b:Person {name: pair[1]}) -CREATE (a)-[:FRIEND]->(b) +```cypher +CREATE + (alice:Person {name: 'Alice', age: 28, city: 'New York'}), + (bob:Person {name: 'Bob', age: 32, city: 'Boston'}), + (charlie:Person {name: 'Charlie', age: 35, city: 'Chicago'}), + (david:Person {name: 'David', age: 29, city: 'Denver'}), + (eve:Person {name: 'Eve', age: 31, city: 'San Francisco'}), + (frank:Person {name: 'Frank', age: 27, city: 'Miami'}), + + (alice)-[:FRIEND]->(bob), + (alice)-[:FRIEND]->(charlie), + (bob)-[:FRIEND]->(david), + (charlie)-[:FRIEND]->(eve), + (david)-[:FRIEND]->(frank), + (eve)-[:FRIEND]->(frank) ``` ![Graph BFS](../images/graph_bfs.png) diff --git a/algorithms/sppath.md b/algorithms/sppath.md index 476e813..0d4d207 100644 --- a/algorithms/sppath.md +++ b/algorithms/sppath.md @@ -51,6 +51,7 @@ YIELD path, pathWeight, pathCost ## Examples: Lets take this Road Network Grpah as an example: + ![Road network](../images/road_network.png) ### Example: Shortest Path by Distance from City A to City G: diff --git a/algorithms/sspath.md b/algorithms/sspath.md index 9caf92f..a593644 100644 --- a/algorithms/sspath.md +++ b/algorithms/sspath.md @@ -75,4 +75,15 @@ CALL algo.SSpaths({ }) YIELD path, pathWeight, pathCost RETURN pathWeight, pathCost, [n in nodes(path) | n.name] AS pathNodes -ORDER BY pathWeight \ No newline at end of file +ORDER BY pathWeight +``` + +#### Expected Result: +| pathWeight | pathCost | pathNodes | +| -----------|----------| ---------- | +| `2` | `1` | [A, D] | +| `3` | `1` | [A, B] | +| `6` | `2` | [A, D, C] | +| `7` | `2` | [A, D, E] | +| `8` | `1` | [A, C] | + diff --git a/algorithms/wcc.md b/algorithms/wcc.md index adfdf9c..0f0a545 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -56,47 +56,16 @@ Lets take this Social Grpah as an example: ![Graph BFS](../images/wcc.png) +There are 3 different communities in this graph: +- Alice, Bob, Charlie +- David, Emma +- Frank -```cypher -CALL algo.wcc({ - nodeLabels: ["Person"], - relationshipTypes: ["KNOWS"] -}) -YIELD node, componentId -RETURN node.name, componentId -``` - -### Creating a Social Network Graph +### Example: Analyzing Social Networks +Find isolated communities in a social network ```cypher -// Create users in different communities -CREATE - // Community 1 - (alice:User {name: 'Alice'}), - (bob:User {name: 'Bob'}), - (charlie:User {name: 'Charlie'}), - - // Community 2 - (david:User {name: 'David'}), - (emma:User {name: 'Emma'}), - - // Community 3 - (frank:User {name: 'Frank'}) - - // Create relationships within communities - (alice)-[:FOLLOWS]->(bob), - (bob)-[:FRIENDS_WITH]->(charlie), - (charlie)-[:FOLLOWS]->(alice), - - (david)-[:FRIENDS_WITH]->(emma) - - // Note that Frank is isolated and forms his own community -``` -### Analyzing Social Networks - -```cypher -// Find isolated communities in a social network CALL algo.wcc({ nodeLabels: ["User"], relationshipTypes: ["FOLLOWS", "FRIENDS_WITH"], diff --git a/commands/graph.mamory-usage.md b/commands/graph.mamory-usage.md index e69de29..5f57d65 100644 --- a/commands/graph.mamory-usage.md +++ b/commands/graph.mamory-usage.md @@ -0,0 +1,53 @@ +--- +title: "GRAPH.MEMORY USAGE" +description: "Report memory consumption statistics for a specific graph" +--- + +# GRAPH.MEMORY USAGE + +The `GRAPH.MEMORY USAGE` command returns memory consumption details for a specific graph in **megabytes (MB)**. It enables users to analyze how much memory is being used by different components of the graph, including nodes, edges, indices, and matrix representations. + +This is especially useful for debugging, performance optimization, and capacity planning. + +## Syntax + +```bash +GRAPH.MEMORY USAGE [SAMPLES ] +``` + +## Arguments + +| Argument | Description | +|----------------|-------------| +| `` | The name of the graph to inspect. | +| `SAMPLES ` | *(Optional)* Number of samples to take when estimating memory usage. A higher number improves accuracy but increases computation time. | + +## Return + +Returns an array of memory usage values, in **MB**, corresponding to different components: + +| Field | Description | +|----------------------------|-------------| +| `total_graph_sz_mb` | Total memory used by the graph | +| `label_matrices_sz_mb` | Memory used by label matrices | +| `relation_matrices_sz_mb` | Memory used by relation matrices | +| `node_storage_sz_mb` | Memory used by nodes (including attributes) | +| `edge_storage_sz_mb` | Memory used by edges (including attributes) | +| `indices_sz_mb` | Memory used by indices (if any) | + +## Example + +### Basic Usage +```bash +GRAPH.MEMORY USAGE myGraph +``` + +### With Sampling +```bash +GRAPH.MEMORY USAGE myGraph SAMPLES 500 +``` + +## Notes + +- If `SAMPLES` is not specified, the engine uses a default capped value internally. +- This command does not have side effects. From 08dca15a66c2e492d070ae8adde29fe5e12017f0 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Mon, 19 May 2025 11:54:38 +0300 Subject: [PATCH 06/16] add DEDUPLICATE_STRINGS to configuration md --- configuration.md | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) diff --git a/configuration.md b/configuration.md index 588471a..021a1ed 100644 --- a/configuration.md +++ b/configuration.md @@ -85,6 +85,7 @@ The following table summarizes which configuration parameters can be set at modu | [CMD_INFO](#cmd_info) | V | V | | [MAX_INFO_QUERIES](#max_info_queries) | V | V | | [IMPORT_FOLDER](#import_folder) | V | X | +| [DEDUPLICATE_STRINGS](#deduplicate_strings) | V | X | --- @@ -383,9 +384,33 @@ query will be replicated. --- + ### IMPORT_FOLDER The import folder configuration specifies an absolute path to a folder from which FalkorDB is allowed to load CSV files. Defaults to: `/var/lib/FalkorDB/import/` + +--- + +### DEDUPLICATE_STRINGS + +Enables or disables string pooling for identical string values across nodes, edges, and properties. When enabled, FalkorDB deduplicates identical string values by referencing a single instance in memory. + +This reduces overall memory usage in graphs where repeated string values (such as country names, roles, or categories) are common. It can especially improve memory efficiency for large-scale graphs with many duplicated property values. + +#### Default + +`DEDUPLICATE_STRINGS` is `no`. + +#### Valid values + +- `yes`: Enables string interning (deduplication) +- `no`: Disables string interning + +#### Example + +```sh +$ redis-server --loadmodule ./falkordb.so DEDUPLICATE_STRINGS yes +``` From ce0ab50ce4e91b57cc79d4111e075cc6255d020c Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Tue, 20 May 2025 17:04:15 +0300 Subject: [PATCH 07/16] fix spell checker --- algorithms/index.md | 4 ++-- algorithms/sppath.md | 2 +- algorithms/sspath.md | 2 +- algorithms/wcc.md | 2 +- commands/{graph.mamory-usage.md => graph.memory-usage.md} | 0 5 files changed, 5 insertions(+), 5 deletions(-) rename commands/{graph.mamory-usage.md => graph.memory-usage.md} (100%) diff --git a/algorithms/index.md b/algorithms/index.md index 28f946b..17fa101 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -18,10 +18,10 @@ This overview summarizes the available algorithms and links to their individual - **[BFS](./bfs.md)** Performs a breadth-first search starting from a source node and optionally stopping at target nodes or maximum depth. -- **[SPPATH](./sppath.md)** +- **[SPpath](./sppath.md)** Computes the shortest paths between a source and one or more destination nodes. -- **[SSPATH](./sspath.md)** +- **[SSpath](./sspath.md)** Enumerates all paths from a single source node to other nodes, based on constraints like edge filters and depth. For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher/functions.md#path-functions). diff --git a/algorithms/sppath.md b/algorithms/sppath.md index 0d4d207..0eaa26e 100644 --- a/algorithms/sppath.md +++ b/algorithms/sppath.md @@ -50,7 +50,7 @@ YIELD path, pathWeight, pathCost ## Examples: -Lets take this Road Network Grpah as an example: +Lets take this Road Network Graph as an example: ![Road network](../images/road_network.png) diff --git a/algorithms/sspath.md b/algorithms/sspath.md index a593644..312b146 100644 --- a/algorithms/sspath.md +++ b/algorithms/sspath.md @@ -29,7 +29,7 @@ YIELD path, pathWeight, pathCost Same as [`algo.SPpaths`](./sspath.md#syntax), except `targetNode` is omitted. ## Examples: -Lets take this Road Network Grpah as an example: +Lets take this Road Network Graph as an example: ![Road network](../images/road_network.png) diff --git a/algorithms/wcc.md b/algorithms/wcc.md index 0f0a545..5971468 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -52,7 +52,7 @@ The procedure returns a stream of records with the following fields: ## Examples -Lets take this Social Grpah as an example: +Lets take this Social Graph as an example: ![Graph BFS](../images/wcc.png) diff --git a/commands/graph.mamory-usage.md b/commands/graph.memory-usage.md similarity index 100% rename from commands/graph.mamory-usage.md rename to commands/graph.memory-usage.md From b6d0b05fe3b5dcf020ca965f154e922773456aad Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Tue, 20 May 2025 17:11:39 +0300 Subject: [PATCH 08/16] add the updated wordlist file --- .wordlist.txt | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) diff --git a/.wordlist.txt b/.wordlist.txt index 717c358..05b1bd1 100644 --- a/.wordlist.txt +++ b/.wordlist.txt @@ -360,3 +360,20 @@ propname propvalue ro GenAI + +WCC +SPpath +SSpath + +DEDUPLICATE +deduplicates +deduplication +undirected +preprocessing +subgraphs +directionality +iteratively +analytics +Pathfinding +Brin +Sergey From f02471d7409a7ae182b08689724425f05a7d85c8 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Tue, 20 May 2025 17:38:08 +0300 Subject: [PATCH 09/16] add verbosity --- algorithms/bfs.md | 9 +++------ algorithms/index.md | 7 +++++++ algorithms/pagerank.md | 4 +++- algorithms/sppath.md | 4 +++- algorithms/sspath.md | 4 ++-- algorithms/wcc.md | 1 + 6 files changed, 19 insertions(+), 10 deletions(-) diff --git a/algorithms/bfs.md b/algorithms/bfs.md index 5ad0ed7..dc8cd81 100644 --- a/algorithms/bfs.md +++ b/algorithms/bfs.md @@ -1,6 +1,7 @@ --- title: "BFS" -description: "BFS" +description: "Breadth-First Search (BFS) explores a graph level by level, visiting all neighbors of a node before moving to the next depth." +parent: "Algorithms" --- # BFS @@ -35,14 +36,10 @@ YIELD nodes, edges ## Examples -### Basic BFS Traversal - -This example demonstrates a basic BFS traversal starting from a person node. - - ### Social Network Friend Recommendations This example demonstrates how to use BFS to find potential friend recommendations in a social network. +By exploring friends of friends, BFS uncovers second-degree connections—people you may know through mutual friends—which are often strong candidates for relevant and meaningful recommendations. #### Setup the Graph diff --git a/algorithms/index.md b/algorithms/index.md index 17fa101..f69addc 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -1,3 +1,10 @@ +--- +title: "Algorithms" +description: Graph Algorithms Overview +nav_order: 3 +has_children: true +--- + # FalkorDB Algorithms Overview FalkorDB offers a suite of graph algorithms optimized for high-performance graph analytics. diff --git a/algorithms/pagerank.md b/algorithms/pagerank.md index 6f952b9..fcadf33 100644 --- a/algorithms/pagerank.md +++ b/algorithms/pagerank.md @@ -1,6 +1,7 @@ --- title: "PageRank" -description: "PageRank" +description: "Rank nodes based on the number and quality of edges pointing to them, simulating the likelihood of a random traversal landing on each node." +parent: "Algorithms" --- # PageRank @@ -17,6 +18,7 @@ The underlying assumption is that more important nodes are likely to receive mor The algorithm assigns each node a score, where higher scores indicate greater importance. The score for a node is derived recursively from the scores of the nodes that link to it, with a damping factor typically applied to prevent rank sinks. +For example, in a network of academic papers, a paper cited by many other highly cited papers will receive a high PageRank score, reflecting its influence in the field. ## Syntax diff --git a/algorithms/sppath.md b/algorithms/sppath.md index 0eaa26e..8b87ffc 100644 --- a/algorithms/sppath.md +++ b/algorithms/sppath.md @@ -1,13 +1,15 @@ --- title: "algo.SPpaths" description: "Find shortest paths between two nodes with advanced cost and length constraints." +parent: "Algorithms" --- # `algo.SPpaths` - Shortest Path (Single Pair) The `algo.SPpaths` procedure finds the shortest paths between a **source** and a **target** node, optionally constrained by cost, path length, and the number of paths to return. -It is designed for efficient and scalable computation of paths in large graphs, using properties like distance, time, or price as weights. +It is designed for efficient and scalable computation of paths in large graphs, using properties like distance, time, or price as weights. +For example, it can be used to find the fastest driving route between two cities, the cheapest shipping option in a logistics network, or the shortest communication path in a computer network. ## Syntax diff --git a/algorithms/sspath.md b/algorithms/sspath.md index 312b146..624697b 100644 --- a/algorithms/sspath.md +++ b/algorithms/sspath.md @@ -1,7 +1,7 @@ --- - title: "algo.SSpaths" description: "Explore all shortest paths from a single source node with weight, cost, and length constraints." +parent: "Algorithms" --- # `algo.SSpaths` - Single Source Paths @@ -26,7 +26,7 @@ YIELD path, pathWeight, pathCost ## Parameters -Same as [`algo.SPpaths`](./sspath.md#syntax), except `targetNode` is omitted. +Same as [`algo.SPpaths`](./sppath.md), except `targetNode` is omitted. ## Examples: Lets take this Road Network Graph as an example: diff --git a/algorithms/wcc.md b/algorithms/wcc.md index 5971468..e5e6684 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -1,6 +1,7 @@ --- title: "Weakly Connected Components (WCC)" description: "Weakly Connected Components (WCC)" +parent: "Algorithms" --- # Weakly Connected Components (WCC) From 9f68b8b543d86c26a8710ae9f0e1c1cfcab22c50 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Tue, 20 May 2025 19:26:00 +0300 Subject: [PATCH 10/16] minor typo fix --- algorithms/wcc.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/algorithms/wcc.md b/algorithms/wcc.md index e5e6684..2daf14d 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -55,7 +55,7 @@ The procedure returns a stream of records with the following fields: Lets take this Social Graph as an example: -![Graph BFS](../images/wcc.png) +![Graph WCC](../images/wcc.png) There are 3 different communities in this graph: - Alice, Bob, Charlie From ae7003eed8a9466dc8658bf5733a6b7997739165 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Sun, 25 May 2025 10:57:22 +0300 Subject: [PATCH 11/16] add array indices --- cypher/indexing.md | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) diff --git a/cypher/indexing.md b/cypher/indexing.md index 38f94fd..ed8f001 100644 --- a/cypher/indexing.md +++ b/cypher/indexing.md @@ -212,6 +212,27 @@ To delete the full-text index for a specific relation label, use: GRAPH.QUERY DEMO_GRAPH "CALL DROP FULLTEXT INDEX FOR ()-[m:Manager]-() ON (m.name)" ``` +## Array Indices + +FalkorDB supports indexing on array properties containing scalar values (e.g., integers, floats, strings), enabling efficient lookups for elements within such arrays. + +Note: Complex types like nested arrays, maps, or vectors are not supported for indexing. + +The following example demonstrates how to index and search an array property: + +```sh +# Create a node with an array property +GRAPH.QUERY DEMO_GRAPH "CREATE (:Person {samples: [-21, 30.5, 0, 90, 3.14]})" + +# Create an index on the array property +GRAPH.QUERY DEMO_GRAPH "CREATE INDEX FOR (p:Person) ON (p.samples)" + +# Use the index to search for nodes containing a specific value in the array +GRAPH.QUERY DEMO_GRAPH "MATCH (p:Person) WHERE 90 IN p.samples RETURN p" +``` + + + # Vector indexing With the introduction of the `vector` data-type a new type of index was introduced. From fce15bdf6d3156c1b5b9f30bfdd1a731f0944344 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Sun, 25 May 2025 11:02:14 +0300 Subject: [PATCH 12/16] add to wordlist --- .wordlist.txt | 1 + 1 file changed, 1 insertion(+) diff --git a/.wordlist.txt b/.wordlist.txt index 05b1bd1..b03e8b7 100644 --- a/.wordlist.txt +++ b/.wordlist.txt @@ -377,3 +377,4 @@ analytics Pathfinding Brin Sergey +lookups From 388795e77c9d0466237bf900baa6928b7f0ee88e Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Mon, 26 May 2025 20:24:45 +0300 Subject: [PATCH 13/16] added (1) between centrality algo (2) remove dedupliacte string (3) update new memory usage (4) minor edits and fixes --- .wordlist.txt | 3 - algorithms/betweenness_centrality.md | 91 +++++++++++++++++++++++++++ algorithms/bfs.md | 2 +- algorithms/index.md | 5 +- algorithms/sppath.md | 30 ++++----- algorithms/sspath.md | 21 ++++++- algorithms/wcc.md | 54 ++++++++++++---- commands/graph.memory-usage.md | 28 +++++---- configuration.md | 22 ------- cypher/indexing.md | 50 +++++++-------- images/between.png | Bin 0 -> 128869 bytes images/graph_query_road.png | Bin 25422 -> 107534 bytes images/road_network.png | Bin 40129 -> 181431 bytes 13 files changed, 215 insertions(+), 91 deletions(-) create mode 100644 algorithms/betweenness_centrality.md create mode 100644 images/between.png diff --git a/.wordlist.txt b/.wordlist.txt index b03e8b7..c3d8d74 100644 --- a/.wordlist.txt +++ b/.wordlist.txt @@ -365,9 +365,6 @@ WCC SPpath SSpath -DEDUPLICATE -deduplicates -deduplication undirected preprocessing subgraphs diff --git a/algorithms/betweenness_centrality.md b/algorithms/betweenness_centrality.md new file mode 100644 index 0000000..de21368 --- /dev/null +++ b/algorithms/betweenness_centrality.md @@ -0,0 +1,91 @@ +--- +title: "Betweenness Centrality" +description: "Measures the importance of nodes based on the number of shortest paths that pass through them." +parent: "Algorithms" +--- + +# Betweenness Centrality + +## Introduction + +Betweenness Centrality is a graph algorithm that quantifies the importance of a node based on the number of shortest paths that pass through it. Nodes that frequently occur on shortest paths between other nodes have higher betweenness centrality scores. This makes the algorithm useful for identifying **key connectors** or **brokers** within a network. + +## Algorithm Overview + +The core idea of Betweenness Centrality is that a node is more important if it lies on many of the shortest paths connecting other nodes. It’s particularly useful in understanding information flow or communication efficiency in a graph. + +For example, in a social network, a person who frequently connects otherwise unconnected groups would have high betweenness centrality. + +## Syntax + +The procedure has the following call signature: +```cypher +CALL algo.betweenness({ + nodeLabels: [], + relationshipTypes: [] +}) +YIELD node, score +``` + +### Parameters + +| Name | Type | Description | Default | +|-----------------------|---------|-------------------------------------------------|---------| +| `nodeLabels` | Array | *(Optional)* List of Strings representing node labels | [] | +| `relationshipTypes` | Array | *(Optional)* List of Strings representing relationship types | [] | + +### Yield + +| Name | Type | Description | +|---------|-------|-----------------------------------------------| +| `node` | Node | The node being evaluated | +| `score` | Float | The betweenness centrality score for the node | + +## Example: + +Lets take this Social Graph as an example: +![Social Graph](../images/between.png) + +### Create the Graph + +```cypher +CREATE + (a:Person {name: 'Alice'}), + (b:Person {name: 'Bob'}), + (c:Person {name: 'Charlie'}), + (d:Person {name: 'David'}), + (e:Person {name: 'Emma'}), + (a)-[:FRIEND]->(b), + (b)-[:FRIEND]->(c), + (b)-[:FRIEND]->(d), + (c)-[:FRIEND]->(e), + (d)-[:FRIEND]->(e) +``` + +### Run Betweenness Centrality - Sort Persons by importance based on FRIEND relationship + +```cypher +CALL algo.betweenness({ + 'nodeLabels': ['Person'], + 'relationshipTypes': ['FRIEND'] + }) +YIELD node, score +RETURN node.name AS person, score +ORDER BY score DESC +``` + +Expected result: + +| person | score | +|-----------|--------| +| `Bob` | 6 | +| `Charlie` | 2 | +| `David` | 2 | +| `Alice` | 0 | +| `Emma` | 0 | + +## Usage Notes + +- Scores are based on **all shortest paths** between node pairs. +- Nodes that serve as bridges between clusters tend to score higher. +- Can be computationally expensive on large, dense graphs. \ No newline at end of file diff --git a/algorithms/bfs.md b/algorithms/bfs.md index dc8cd81..a0541ad 100644 --- a/algorithms/bfs.md +++ b/algorithms/bfs.md @@ -41,7 +41,7 @@ YIELD nodes, edges This example demonstrates how to use BFS to find potential friend recommendations in a social network. By exploring friends of friends, BFS uncovers second-degree connections—people you may know through mutual friends—which are often strong candidates for relevant and meaningful recommendations. -#### Setup the Graph +#### Create the Graph ```cypher CREATE diff --git a/algorithms/index.md b/algorithms/index.md index f69addc..b395a9e 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -32,13 +32,16 @@ This overview summarizes the available algorithms and links to their individual Enumerates all paths from a single source node to other nodes, based on constraints like edge filters and depth. For path expressions like `shortestPath()` used directly in Cypher queries, refer to the [Cypher Path Functions section](../cypher/functions.md#path-functions). + ## Centrality Measures - **[PageRank](./pagerank.md)** Computes the PageRank score of each node in the graph, representing its influence based on the structure of incoming links. +- **[Betweenness Centrality](./betweenness_centrality.md)** + Calculates the number of shortest paths that pass through each node, indicating its importance as a connector in the graph. + ## Community Detection - **[WCC (Weakly Connected Components)](./wcc.md)** Finds weakly connected components in a graph, where each node is reachable from others ignoring edge directions. - diff --git a/algorithms/sppath.md b/algorithms/sppath.md index 8b87ffc..55f3872 100644 --- a/algorithms/sppath.md +++ b/algorithms/sppath.md @@ -30,25 +30,25 @@ YIELD path, pathWeight, pathCost ## Parameters -| Name | Type | Description | -|-----------------|----------|-------------| -| `sourceNode` | Node | Starting node | -| `targetNode` | Node | Destination node | -| `relTypes` | Array | List of relationship types to follow | -| `weightProp` | String | Property to minimize along the path (e.g., `dist`, `time`) | -| `costProp` | String | Property to constrain the total value (optional) | -| `maxCost` | Integer | Upper bound on total cost (optional) | -| `maxLen` | Integer | Max number of relationships in the path (optional) | -| `relDirection` | String | Traversal direction (`outgoing`, `incoming`, `both`) | +| Name | Type | Description | +|-----------------|----------|--------------------------------------------------------------------------------------| +| `sourceNode` | Node | Starting node | +| `targetNode` | Node | Destination node | +| `relTypes` | Array | List of relationship types to follow | +| `weightProp` | String | Property to minimize along the path (e.g., `dist`, `time`) | +| `costProp` | String | Property to constrain the total value (optional) | +| `maxCost` | Integer | Upper bound on total cost (optional) | +| `maxLen` | Integer | Max number of relationships in the path (optional) | +| `relDirection` | String | Traversal direction (`outgoing`, `incoming`, `both`) | | `pathCount` | Integer | Number of paths to return (0 = all shortest, 1 = default, n = max number of results) | ## Returns -| Name | Type | Description | -|--------------|---------|-------------| -| `path` | Path | Discovered path from source to target | -| `pathWeight` | Integer | Sum of the weightProp across the path | -| `pathCost` | Integer | Sum of the costProp across the path (if used) | +| Name | Type | Description | +|--------------|---------|------------------------------------------------| +| `path` | Path | Discovered path from source to target | +| `pathWeight` | Integer | Sum of the weightProp across the path | +| `pathCost` | Integer | Sum of the costProp across the path (if used) | ## Examples: diff --git a/algorithms/sspath.md b/algorithms/sspath.md index 624697b..2bc710e 100644 --- a/algorithms/sspath.md +++ b/algorithms/sspath.md @@ -26,7 +26,26 @@ YIELD path, pathWeight, pathCost ## Parameters -Same as [`algo.SPpaths`](./sppath.md), except `targetNode` is omitted. + +| Name | Type | Description | +|-----------------|----------|--------------------------------------------------------------------------------------| +| `sourceNode` | Node | Starting node | +| `relTypes` | Array | List of relationship types to follow | +| `weightProp` | String | Property to minimize along the path (e.g., `dist`, `time`) | +| `costProp` | String | Property to constrain the total value (optional) | +| `maxCost` | Integer | Upper bound on total cost (optional) | +| `maxLen` | Integer | Max number of relationships in the path (optional) | +| `relDirection` | String | Traversal direction (`outgoing`, `incoming`, `both`) | +| `pathCount` | Integer | Number of paths to return (0 = all shortest, 1 = default, n = max number of results) | + +## Returns + +| Name | Type | Description | +|--------------|---------|------------------------------------------------| +| `path` | Path | Discovered path from source to target | +| `pathWeight` | Integer | Sum of the weightProp across the path | +| `pathCost` | Integer | Sum of the costProp across the path (if used) | + ## Examples: Lets take this Road Network Graph as an example: diff --git a/algorithms/wcc.md b/algorithms/wcc.md index 2daf14d..176daa6 100644 --- a/algorithms/wcc.md +++ b/algorithms/wcc.md @@ -51,7 +51,7 @@ The procedure returns a stream of records with the following fields: | `node` | Node | The node entity included in the component | | `componentId` | Integer | Identifier of the weakly connected component the node belongs to | -## Examples +## Examples: Lets take this Social Graph as an example: @@ -62,18 +62,50 @@ There are 3 different communities in this graph: - David, Emma - Frank -### Example: Analyzing Social Networks +### Create the Graph -Find isolated communities in a social network ```cypher +CREATE + (alice:User {name: 'Alice'}), + (bob:User {name: 'Bob'}), + (charlie:User {name: 'Charlie'}), + + (david:User {name: 'David'}), + (emma:User {name: 'Emma'}), + + (frank:User {name: 'Frank'}), + + (alice)-[:FOLLOWS]->(bob), + (bob)-[:FRIENDS_WITH]->(charlie), + (charlie)-[:FOLLOWS]->(alice), + + (david)-[:FRIENDS_WITH]->(emma) +``` + +### Example: Find isolated communities in a social network +```cypher +CALL algo.WCC(null) yield node, componentId +``` -CALL algo.wcc({ - nodeLabels: ["User"], - relationshipTypes: ["FOLLOWS", "FRIENDS_WITH"], -}) -YIELD componentId +#### Expected Results +| node | componentId | +|--------------------------------|-------------| +| `(:User {name: "Alice"})` | 0 | +| `(:User {name: "Bob"})` | 0 | +| `(:User {name: "Charlie"})` | 0 | +| `(:User {name: "David"})` | 3 | +| `(:User {name: "Emma"})` | 3 | +| `(:User {name: "Frank"})` | 5 | + +### Example: Group Communities together into a single list +```cypher +CALL algo.WCC(null) yield node, componentId return collect(node.name), componentId +``` -// Get community sizes -RETURN componentId AS communityId, count(*) AS communitySize -ORDER BY communitySize DESC +#### Expected Results +| collect(node.name) | componentId | +|----------------------------|-------------| +| `[David, Emma]` | 3 | +| `[Frank]` | 5 | +| `[Alice, Bob, Charlie]` | 0 | ``` diff --git a/commands/graph.memory-usage.md b/commands/graph.memory-usage.md index 5f57d65..b179d77 100644 --- a/commands/graph.memory-usage.md +++ b/commands/graph.memory-usage.md @@ -17,23 +17,26 @@ GRAPH.MEMORY USAGE [SAMPLES ] ## Arguments -| Argument | Description | -|----------------|-------------| -| `` | The name of the graph to inspect. | -| `SAMPLES ` | *(Optional)* Number of samples to take when estimating memory usage. A higher number improves accuracy but increases computation time. | +| Argument | Description | +|----------------|------------------------------------------------------------------------------------------------------------------------------------------| +| `` | The name of the graph to inspect. | +| `SAMPLES ` | *(Optional)* Number of samples to take when estimating memory usage. A higher number improves accuracy but increases computation time. | ## Return Returns an array of memory usage values, in **MB**, corresponding to different components: -| Field | Description | -|----------------------------|-------------| -| `total_graph_sz_mb` | Total memory used by the graph | -| `label_matrices_sz_mb` | Memory used by label matrices | -| `relation_matrices_sz_mb` | Memory used by relation matrices | -| `node_storage_sz_mb` | Memory used by nodes (including attributes) | -| `edge_storage_sz_mb` | Memory used by edges (including attributes) | -| `indices_sz_mb` | Memory used by indices (if any) | +| Field | Description | +|-----------------------------------------------|---------------------------------------------------------------| +| `total_graph_sz_mb` | Total memory used by the graph | +| `label_matrices_sz_mb` | Memory used to hold label matrices | +| `relation_matrices_sz_mb` | Memory used to hold relation matrices | +| `amortized_node_block_sz_mb` | Memory used to hold nodes matrices | +| `amortized_node_attributes_by_label_sz_mb` | Memory used to hold labeled node attributes, split by label | +| `amortized_unlabeled_nodes_attributes_sz_mb` | Memory used to hold non-labeled node attributes | +| `amortized_edge_block_sz_mb` | Memory used to hold edges matrices | +| `amortized_edge_attributes_by_type_sz_mb` | Memory used to hold lebeld edge attributes, split by label | +| `indices_sz_mb` | Memory used by indices (if any) | ## Example @@ -42,6 +45,7 @@ Returns an array of memory usage values, in **MB**, corresponding to different c GRAPH.MEMORY USAGE myGraph ``` +expected results ### With Sampling ```bash GRAPH.MEMORY USAGE myGraph SAMPLES 500 diff --git a/configuration.md b/configuration.md index 021a1ed..7758f8f 100644 --- a/configuration.md +++ b/configuration.md @@ -85,7 +85,6 @@ The following table summarizes which configuration parameters can be set at modu | [CMD_INFO](#cmd_info) | V | V | | [MAX_INFO_QUERIES](#max_info_queries) | V | V | | [IMPORT_FOLDER](#import_folder) | V | X | -| [DEDUPLICATE_STRINGS](#deduplicate_strings) | V | X | --- @@ -393,24 +392,3 @@ FalkorDB is allowed to load CSV files. Defaults to: `/var/lib/FalkorDB/import/` --- - -### DEDUPLICATE_STRINGS - -Enables or disables string pooling for identical string values across nodes, edges, and properties. When enabled, FalkorDB deduplicates identical string values by referencing a single instance in memory. - -This reduces overall memory usage in graphs where repeated string values (such as country names, roles, or categories) are common. It can especially improve memory efficiency for large-scale graphs with many duplicated property values. - -#### Default - -`DEDUPLICATE_STRINGS` is `no`. - -#### Valid values - -- `yes`: Enables string interning (deduplication) -- `no`: Disables string interning - -#### Example - -```sh -$ redis-server --loadmodule ./falkordb.so DEDUPLICATE_STRINGS yes -``` diff --git a/cypher/indexing.md b/cypher/indexing.md index ed8f001..69b8ee9 100644 --- a/cypher/indexing.md +++ b/cypher/indexing.md @@ -8,9 +8,11 @@ parent: "Cypher Language" # Indexing +## Range Index + FalkorDB supports single-property indexes for node labels and for relationship type. String, numeric, and geospatial data types can be indexed. -## Creating an index for a node label +### Creating an index for a node label For a node label, the index creation syntax is: @@ -49,7 +51,7 @@ GRAPH.QUERY DEMO_GRAPH Geospatial indexes can currently only be leveraged with `<` and `<=` filters; matching nodes outside of the given radius is performed using conventional matching. -## Creating an index for a relationship type +### Creating an index for a relationship type For a relationship type, the index creation syntax is: @@ -69,7 +71,7 @@ GRAPH.EXPLAIN DEMO_GRAPH "MATCH (p:Person {id: 0})-[f:FOLLOW]->(fp) WHERE 0 < f. This can significantly improve the runtime of queries that traverse super nodes or when we want to start traverse from relationships. -## Deleting an index for a node label +### Deleting an index for a node label For a node label, the index deletion syntax is: @@ -77,7 +79,7 @@ For a node label, the index deletion syntax is: GRAPH.QUERY DEMO_GRAPH "DROP INDEX ON :Person(age)" ``` -## Deleting an index for a relationship type +### Deleting an index for a relationship type For a relationship type, the index deletion syntax is: @@ -85,6 +87,25 @@ For a relationship type, the index deletion syntax is: GRAPH.QUERY DEMO_GRAPH "DROP INDEX ON :FOLLOW(created_at)" ``` +### Array Indices + +FalkorDB supports indexing on array properties containing scalar values (e.g., integers, floats, strings), enabling efficient lookups for elements within such arrays. + +Note: Complex types like nested arrays, maps, or vectors are not supported for indexing. + +The following example demonstrates how to index and search an array property: + +```sh +# Create a node with an array property +GRAPH.QUERY DEMO_GRAPH "CREATE (:Person {samples: [-21, 30.5, 0, 90, 3.14]})" + +# Create an index on the array property +GRAPH.QUERY DEMO_GRAPH "CREATE INDEX FOR (p:Person) ON (p.samples)" + +# Use the index to search for nodes containing a specific value in the array +GRAPH.QUERY DEMO_GRAPH "MATCH (p:Person) WHERE 90 IN p.samples RETURN p" +``` + # Full-text indexing FalkorDB leverages the indexing capabilities of [RediSearch](https://redis.io/docs/interact/search-and-query/) to provide full-text indices through procedure calls. @@ -212,27 +233,6 @@ To delete the full-text index for a specific relation label, use: GRAPH.QUERY DEMO_GRAPH "CALL DROP FULLTEXT INDEX FOR ()-[m:Manager]-() ON (m.name)" ``` -## Array Indices - -FalkorDB supports indexing on array properties containing scalar values (e.g., integers, floats, strings), enabling efficient lookups for elements within such arrays. - -Note: Complex types like nested arrays, maps, or vectors are not supported for indexing. - -The following example demonstrates how to index and search an array property: - -```sh -# Create a node with an array property -GRAPH.QUERY DEMO_GRAPH "CREATE (:Person {samples: [-21, 30.5, 0, 90, 3.14]})" - -# Create an index on the array property -GRAPH.QUERY DEMO_GRAPH "CREATE INDEX FOR (p:Person) ON (p.samples)" - -# Use the index to search for nodes containing a specific value in the array -GRAPH.QUERY DEMO_GRAPH "MATCH (p:Person) WHERE 90 IN p.samples RETURN p" -``` - - - # Vector indexing With the introduction of the `vector` data-type a new type of index was introduced. diff --git a/images/between.png b/images/between.png new file mode 100644 index 0000000000000000000000000000000000000000..4dbf0f08823d0f9eec2675feb608cc13f8c77f68 GIT binary patch literal 128869 zcmeFZby!qg8#g+1Nk~aZcMBpVF$zd`x6<9+p&&@7G}4W9htdq8gmia@g!H%Z5%hV! zbI#@Y|K+-7X0vCnwb#1ycgLPUS!oeeWCCOm2!tvoDkKjAA%Q_4m|R47;0(cJFC7SU 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z=r!*74q3$I(evmsf{d2)m7SHiQ$hm3&U>O9{_p!SIb{V@LGBAnra1UB?<-jAE(H^p zf%+3X>wC$3be<#Z1|h@(e&NMVmXV8%fTdHb#O6m(dw)X846X4BE5oL?bC-Co5J=Vj zNOp7S5mFGawGsXFqva-29@y%P>uwIQShR`u%LPl@kKiB=p;rIQE6qU!O)(1B1OVnN zD}G+RXmlGK-HkYoFm#may$cHo_g0?FxqR4T%qX2!UBQ47X!apGVIkTVveDuYURJ!>~f(_B4=&)7_Hw+-_A=cbXn=&+}Z})Lp-{ z;}a4TResDz>d1pft6!rKk$$JhAlynfnrr_rgD~o(Puido7Z{8+&!JT-7$&T*=fy}8R zM=ut!Q0BIzBfdo)pU_@kBQ=9359Hm&U39a!fRWMSh5b>xgIID@MibbfXKG$d$`Lu@ z{9*~D5ZO3ysF`|QlnPu8DkR80%2CJTT4ENOtP73cFNDKTjA!67@lVn-iuUjDX0m8@a4FBI(|G^jM8kzV7Y>#YEL}!{(#mF!N%JLPPfbZhs zAkvVF?LtNtWI~||GhOj?9|(gQWo9uq4{4Z*B$3yWuw6)08JVCg{&KsD|3mnU!$k4Z aH@8Uk=ZHY*8Jqa5C From e3752a81fbb29a678701cd816615ed267f672fb0 Mon Sep 17 00:00:00 2001 From: Matan Broit Date: Mon, 26 May 2025 20:48:35 +0300 Subject: [PATCH 14/16] add wordllist --- .wordlist.txt | 3 +++ commands/graph.memory-usage.md | 22 +++++++++++----------- 2 files changed, 14 insertions(+), 11 deletions(-) diff --git a/.wordlist.txt b/.wordlist.txt index c3d8d74..e0e8ca2 100644 --- a/.wordlist.txt +++ b/.wordlist.txt @@ -375,3 +375,6 @@ Pathfinding Brin Sergey lookups +componentId +Betweenness +betweenness diff --git a/commands/graph.memory-usage.md b/commands/graph.memory-usage.md index b179d77..73763eb 100644 --- a/commands/graph.memory-usage.md +++ b/commands/graph.memory-usage.md @@ -26,17 +26,17 @@ GRAPH.MEMORY USAGE [SAMPLES ] Returns an array of memory usage values, in **MB**, corresponding to different components: -| Field | Description | -|-----------------------------------------------|---------------------------------------------------------------| -| `total_graph_sz_mb` | Total memory used by the graph | -| `label_matrices_sz_mb` | Memory used to hold label matrices | -| `relation_matrices_sz_mb` | Memory used to hold relation matrices | -| `amortized_node_block_sz_mb` | Memory used to hold nodes matrices | -| `amortized_node_attributes_by_label_sz_mb` | Memory used to hold labeled node attributes, split by label | -| `amortized_unlabeled_nodes_attributes_sz_mb` | Memory used to hold non-labeled node attributes | -| `amortized_edge_block_sz_mb` | Memory used to hold edges matrices | -| `amortized_edge_attributes_by_type_sz_mb` | Memory used to hold lebeld edge attributes, split by label | -| `indices_sz_mb` | Memory used by indices (if any) | +| Field | Description | +|-----------------------------------------------|-------------------------------------------------------------------| +| `total_graph_sz_mb` | Total memory used by the graph | +| `label_matrices_sz_mb` | Memory used by label matrices | +| `relation_matrices_sz_mb` | Memory used relationship type matrices | +| `amortized_node_block_sz_mb` | Memory used by nodes | +| `amortized_node_attributes_by_label_sz_mb` | Memory used by node attributes, split by node label | +| `amortized_unlabeled_nodes_attributes_sz_mb` | Memory used by node attributes with no label | +| `amortized_edge_block_sz_mb` | Memory used by edges | +| `amortized_edge_attributes_by_type_sz_mb` | Memory used by edge attributes, split by relationship type | +| `indices_sz_mb` | Memory used by indices (if any) | ## Example From 8a6b005ff00983e00547356b8db6107eb6a8567e Mon Sep 17 00:00:00 2001 From: Roi Lipman Date: Sat, 31 May 2025 11:32:28 +0300 Subject: [PATCH 15/16] added cdlp --- algorithms/cdlp.md | 181 ++++++++++++++++++++++++++++++++++++++++++++ algorithms/index.md | 4 + 2 files changed, 185 insertions(+) create mode 100644 algorithms/cdlp.md diff --git a/algorithms/cdlp.md b/algorithms/cdlp.md new file mode 100644 index 0000000..d17a0d1 --- /dev/null +++ b/algorithms/cdlp.md @@ -0,0 +1,181 @@ +--- +title: "Community Detection using Label Propagation (CDLP)" +description: "Community Detection using Label Propagation (CDLP)" +parent: "Algorithms" +--- + +# Community Detection using Label Propagation (CDLP) + +## Overview + +The Community Detection using Label Propagation (CDLP) algorithm identifies communities in networks by propagating labels through the graph structure. +Each node starts with a unique label, and through iterative propagation, nodes adopt the most frequent label among their neighbors, naturally forming communities where densely connected nodes share the same label. + +CDLP serves as a powerful algorithm in scenarios such as: +- Social network community detection +- Biological network module identification +- Web page clustering and topic detection +- Market segmentation analysis +- Fraud detection networks + +## Algorithm Details + +CDLP initializes by assigning each node a unique label (typically its node ID). +The algorithm then iteratively updates each node's label to the most frequent label among its neighbors. +During each iteration, nodes are processed in random order to avoid deterministic bias. +The algorithm continues until labels stabilize (no changes occur) or a maximum number of iterations is reached. +The final labels represent community assignments, where nodes sharing the same label belong to the same community. + +The algorithm's strength lies in its ability to discover communities without requiring prior knowledge of the number of communities or their sizes. +It runs in near-linear time and mimics epidemic contagion by spreading labels through the network. + +### Performance + +CDLP operates with a time complexity of **O(m + n)** per iteration, where: +- **n** represents the total number of nodes +- **m** represents the total number of edges + +The algorithm typically converges within a few iterations, making it highly efficient for large-scale networks. + +## Syntax + +```cypher +CALL algo.labelPropagation([config]) +``` + +### Parameters + +The procedure accepts an optional configuration `Map` with the following parameters: + +| Name | Type | Default | Description | +|---------------------|---------|------------------------|----------------------------------------------------------------------------------| +| `nodeLabels` | Array | All labels | Array of node labels to filter which nodes are included in the computation | +| `relationshipTypes` | Array | All relationship types | Array of relationship types to define which edges are traversed | +| `maxIterations` | Integer | 10 | Maximum number of iterations to run the algorithm | + +### Return Values +The procedure returns a stream of records with the following fields: + +| Name | Type | Description | +|---------------|---------|---------------------------------------------------------------------| +| `node` | Node | The node entity included in the community | +| `communityId` | Integer | Identifier of the community the node belongs to | + +## Examples + +Let's take this Social Network as an example: + +``` + (Alice)---(Bob)---(Charlie) (Kate) + | | | + (Diana) | (Eve)---(Frank) + | | | | + (Grace)--(Henry) (Iris)--(Jack) +``` + +There are 3 different communities that should emerge from this network: +- Alice, Bob, Charlie, Diana, Grace, Henry +- Eve, Frank, Iris, Jack +- Any isolated nodes + +### Create the Graph + +```cypher +CREATE + (alice:Person {name: 'Alice'}), + (bob:Person {name: 'Bob'}), + (charlie:Person {name: 'Charlie'}), + (diana:Person {name: 'Diana'}), + (eve:Person {name: 'Eve'}), + (frank:Person {name: 'Frank'}), + (grace:Person {name: 'Grace'}), + (henry:Person {name: 'Henry'}), + (iris:Person {name: 'Iris'}), + (jack:Person {name: 'Jack'}), + (kate:Person {name: 'Kate'}), + + (alice)-[:KNOWS]->(bob), + (bob)-[:KNOWS]->(charlie), + (alice)-[:KNOWS]->(diana), + (bob)-[:KNOWS]->(henry), + (diana)-[:KNOWS]->(grace), + (grace)-[:KNOWS]->(henry), + (charlie)-[:KNOWS]->(eve), + (eve)-[:KNOWS]->(frank), + (eve)-[:KNOWS]->(iris), + (frank)-[:KNOWS]->(jack), + (iris)-[:KNOWS]->(jack) +``` + +### Example: Detect all communities in the network + +```cypher +CALL algo.labelPropagation() YIELD node, communityId RETURN node.name AS name, communityId ORDER BY communityId, name +``` + +#### Expected Results +| name | communityId | +|------------|-------------| +| `Alice` | 0 | +| `Bob` | 0 | +| `Charlie` | 0 | +| `Diana` | 0 | +| `Grace` | 0 | +| `Henry` | 0 | +| `Eve` | 2 | +| `Frank` | 2 | +| `Iris` | 2 | +| `Jack` | 2 | +| `Kate` | 10 | + +### Example: Detect communities with limited iterations + +```cypher +CALL algo.labelPropagation({maxIterations: 5}) YIELD node, communityId +``` + +### Example: Focus on specific node types + +```cypher +CALL algo.labelPropagation({nodeLabels: ['Person']}) YIELD node, communityId +``` + +### Example: Use only certain relationship types + +```cypher +CALL algo.labelPropagation({relationshipTypes: ['KNOWS', 'FRIENDS_WITH']}) YIELD node, communityId +``` + +### Example: Combine node and relationship filtering + +```cypher +CALL algo.labelPropagation({ + nodeLabels: ['Person'], + relationshipTypes: ['KNOWS'] +}) YIELD node, communityId +``` + +### Example: Group communities together + +```cypher +CALL algo.labelPropagation() YIELD node, communityId +RETURN collect(node.name) AS community_members, communityId, count(*) AS community_size +ORDER BY community_size DESC +``` + +#### Expected Results +| community_members | communityId | community_size | +|----------------------------------------------------------|-------------|----------------| +| `["Alice", "Bob", "Charlie", "Diana", "Grace", "Henry"]` | 0 | 6 | +| `["Eve", "Frank", "Iris", "Jack"]` | 2 | 4 | +| `["Kate"]` | 10 | 1 | + +### Example: Find the largest communities + +```cypher +CALL algo.labelPropagation() YIELD node, communityId +RETURN communityId, collect(node) AS nodes, count(*) AS size +ORDER BY size DESC +LIMIT 1 +``` + diff --git a/algorithms/index.md b/algorithms/index.md index b395a9e..a56db6f 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -45,3 +45,7 @@ For path expressions like `shortestPath()` used directly in Cypher queries, refe - **[WCC (Weakly Connected Components)](./wcc.md)** Finds weakly connected components in a graph, where each node is reachable from others ignoring edge directions. + +- **[CDLP (Community Detection Label Propegation)](./cdlp.md)** + Detects communities in a network, by propagating labels through the graph structure. + From dea9e924bfab4daf1eeaa7fb283f2c3bcdebab1f Mon Sep 17 00:00:00 2001 From: Roi Lipman Date: Sat, 31 May 2025 13:06:16 +0300 Subject: [PATCH 16/16] spellcheck --- .wordlist.txt | 2 ++ algorithms/index.md | 2 +- 2 files changed, 3 insertions(+), 1 deletion(-) diff --git a/.wordlist.txt b/.wordlist.txt index e0e8ca2..df287e5 100644 --- a/.wordlist.txt +++ b/.wordlist.txt @@ -13,6 +13,8 @@ CMD CSC CSV CSVs +CDLP +communityId Cailliau Centos ColumnType diff --git a/algorithms/index.md b/algorithms/index.md index a56db6f..854f14f 100644 --- a/algorithms/index.md +++ b/algorithms/index.md @@ -46,6 +46,6 @@ For path expressions like `shortestPath()` used directly in Cypher queries, refe - **[WCC (Weakly Connected Components)](./wcc.md)** Finds weakly connected components in a graph, where each node is reachable from others ignoring edge directions. -- **[CDLP (Community Detection Label Propegation)](./cdlp.md)** +- **[CDLP (Community Detection Label Propagation)](./cdlp.md)** Detects communities in a network, by propagating labels through the graph structure.