0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Note that for the following question you should use technology to do the matrix calculations.
Consider a graph with the following adjacency matrix:
0 0 0 1 1 1
0 1 1 0 1 0
0 1 0 0 1 1
1
0 0 0 1 0
1
1 1 1 0 1
1 0 1 0 1 1
Assuming the nodes are labelled 1,2,3,4,5,6 in the same order as the rows and columns, answer the folllowing questions:
(a) How many walks of length 2 are there from node 6 to itself?
4
(b) How many walks of length 4 are there from node 6 to itself?
(c) How many walks of length 4 are there from node 5 to node 4?
(d) How many walks of length 5 are there from node 5 to node 4?
Transcribed Image Text:Note that for the following question you should use technology to do the matrix calculations. Consider a graph with the following adjacency matrix: 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 Assuming the nodes are labelled 1,2,3,4,5,6 in the same order as the rows and columns, answer the folllowing questions: (a) How many walks of length 2 are there from node 6 to itself? 4 (b) How many walks of length 4 are there from node 6 to itself? (c) How many walks of length 4 are there from node 5 to node 4? (d) How many walks of length 5 are there from node 5 to node 4?
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