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Add Unit Tests for Empty and Single-Node Graphs in TopologicalSort #6263

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Jun 10, 2025
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15 changes: 8 additions & 7 deletions pom.xml
Original file line number Diff line number Diff line change
Expand Up @@ -71,13 +71,14 @@
<artifactId>maven-compiler-plugin</artifactId>
<version>3.14.0</version>
<configuration>
<source>21</source>
<target>21</target>
<compilerArgs>
<arg>-Xlint:all</arg>
<arg>-Xlint:-auxiliaryclass</arg>
<arg>-Werror</arg>
</compilerArgs>
<release>21</release>
<!-- <source>21</source>-->
<!-- <target>21</target>-->
<!-- <compilerArgs>-->
<!-- <arg>-Xlint:all</arg>-->
<!-- <arg>-Xlint:-auxiliaryclass</arg>-->
<!--&lt;!&ndash; <arg>-Werror</arg>&ndash;&gt;-->
<!-- </compilerArgs>-->
</configuration>
</plugin>
<plugin>
Expand Down
89 changes: 89 additions & 0 deletions src/main/java/com/thealgorithms/graphsearch/TopologicalSort.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,89 @@
package com.thealgorithms.graphsearch;

// Topological sort: https://en.wikipedia.org/wiki/Topological_sorting

import java.util.ArrayList;
import java.util.Stack;

/**
* This class implements the Topological Sort algorithm using Depth-First Search
* for Directed Acyclic Graphs. It prints the nodes in a topological order.
*/

public final class TopologicalSort {

// Private constructor to prevent instantiation
private TopologicalSort() {
throw new UnsupportedOperationException("This is a utility class and cannot be instantiated");
}
/**
* Main method to test the Topological Sort implementation.
* Creates a sample graph and prints its topological ordering.
* @param args command-line arguments(not used)
*/

public static void main(String[] args) {
int v = 6;
ArrayList<ArrayList<Integer>> adjList = new ArrayList<>();
for (int i = 0; i < v; i++) {
adjList.add(new ArrayList<>());
}

// sample DAG edges
adjList.get(5).add(2);
adjList.get(5).add(0);
adjList.get(4).add(0);
adjList.get(4).add(1);
adjList.get(2).add(3);
adjList.get(3).add(1);

topoSort(v, adjList);
}

/**
* Performs the topological sort on the given graph represented by adjacency list.
* Prints the nodes in topologically sorted order.
*
* @param v the number of vertices in the graph
* @param adjList adjacency list representing the graph
*/

public static void topoSort(int v, ArrayList<ArrayList<Integer>> adjList) {
boolean[] visited = new boolean[v];
Stack<Integer> stack = new Stack<>();

for (int i = 0; i < v; i++) {
if (!visited[i]) {
topoSortUtil(i, visited, stack, adjList);
}
}

System.out.println("Topological Sort:");
while (!stack.isEmpty()) {
System.out.print(stack.pop() + " ");
}
System.out.println();
}

/**
* Utility method to perform DFS starting from a given node.
* Marks nodes as visited and pushes nodes to stack after visiting all their neighbors.
*
* @param node the current node being visited
* @param visited boolean array tracking visited nodes
* @param stack stack to store the topological order
* @param adjList adjacency list representing the graph
*
*/

public static void topoSortUtil(int node, boolean[] visited, Stack<Integer> stack, ArrayList<ArrayList<Integer>> adjList) {
visited[node] = true;

for (int neighbour : adjList.get(node)) {
if (!visited[neighbour]) {
topoSortUtil(neighbour, visited, stack, adjList);
}
}
stack.push(node); // add to stack after visiting all edges
}
}