Skip to content

Commit 899248d

Browse files
authored
Merge pull request #29 from spamegg1/fix-15-4.9
fix 15 in 4.9
2 parents 5522372 + fed2705 commit 899248d

File tree

1 file changed

+2
-2
lines changed

1 file changed

+2
-2
lines changed

src/Epp.tex

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -15598,14 +15598,14 @@ \subsubsection{Exercise 15}
1559815598

1559915599
There are 3 people who network with 6 other people: in other words there are 3 vertices of degree 6. Similarly, one vertex of degree 5, 5 vertices of degree 4, and say $x$ vertices of degree 3 (let $x$ be the number of people who are network friends with 3 other people). And there are a total of 41 edges.
1560015600

15601-
The total degree is $42 \cdot 2 = 82$. Counted the other way, the total degree is: $3 \cdot 6 + 1 \cdot 5 + 5 \cdot 4 + 3x = 43+3x$. So $82 = 43+3x$, therefore $39 = 3x$ so $x = 13$. So 13 people are network friends with three other people in the network.
15601+
The total degree is $41 \cdot 2 = 82$. Counted the other way, the total degree is: $3 \cdot 6 + 1 \cdot 5 + 5 \cdot 4 + 3x = 43+3x$. So $82 = 43+3x$, therefore $39 = 3x$ so $x = 13$. So 13 people are network friends with three other people in the network.
1560215602
\end{proof}
1560315603

1560415604
(b)
1560515605
How many people are in the network?
1560615606

1560715607
\begin{proof}
15608-
$4 + 1 + 5 + 13 = 23$ people.
15608+
$3 + 1 + 5 + 13 = 22$ people.
1560915609
\end{proof}
1561015610

1561115611
\subsubsection{Exercise 16}

0 commit comments

Comments
 (0)