Let G be an undirected graph, with adjacency matrix 1 1 1 A = 1 1 1 1 1 1 1 1 1 How many walks of length 3 does G posses from vertex 4 to vertex 1? You may use the following results: 2 1 1 2 1 1 A? 1 1 3 2 1 1 1 1 2 1 1 3 2 5 5 1 1 3 A³ = 5 1 4 5 1 4 2 3 6. 2 Answer:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let G be an undirected graph, with adjacency matrix
1
1 0
0 0
1
А —
1
1
1
1
1
1
1
1
1
How many walks of length 3 does G posses from vertex 4 to vertex 1?
You may use the following results:
2 0 1 1 2
1
1
A? =
1
1
3
1
1
1
2
3
1
2
1
1
3
2
2 5
5
2
2
1
1
3
A = | 5
1
4
5
1
4
6.
2
3
6 6
Answer:
6
1.
N O
Transcribed Image Text:Let G be an undirected graph, with adjacency matrix 1 1 0 0 0 1 А — 1 1 1 1 1 1 1 1 1 How many walks of length 3 does G posses from vertex 4 to vertex 1? You may use the following results: 2 0 1 1 2 1 1 A? = 1 1 3 1 1 1 2 3 1 2 1 1 3 2 2 5 5 2 2 1 1 3 A = | 5 1 4 5 1 4 6. 2 3 6 6 Answer: 6 1. N O
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