8. Show the adjacency matrix for this graph, where vertex i is represented by the i-th row and i-th column. Then show and explain how to find the total number of walks of length 3 in the graph that either start or end at vertex 5 by using the adjacency matrix. (A walk is a path which may repeat edges of the graph. Be careful not to double count walks that start AND end at vertex 5! Draw this graph above your solution. 1 2 6 5

8. Show the adjacency matrix for this graph, where vertex i is represented by the i-th row and i-th column. Then show and explain how to find the total number of walks of length 3 in the graph that either start or end at vertex 5 by using the adjacency matrix. (A walk is a path which may repeat edges of the graph. Be careful not to double count walks that start AND end at vertex 5! Draw this graph above your solution. 1 2 6 5

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

8. Show the adjacency matrix for this graph, where vertex i is represented by the i-th
row and i-th column. Then show and explain how to find the total number of walks of
length 3 in the graph that either start or end at vertex 5 by using the adjacency
matrix. (A walk is a path which may repeat edges of the graph. Be careful not to
double count walks that start AND end at vertex 5!
Draw this graph above your solution.
1
6
5
4

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