[1 1 27 Let A= 1 0 1 be the adjacency matrix for the graph [2 1 0] G, with vertices v,, V2, V3- (i) Find the number of walks of length 2, from v, to v,? (ii) Draw the graph G and label the edges e, (I = 1, 2, 3, ...) (iii) Write down the walks of length 2 from v, to v,. Which ones are simple circuits?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 69EQ
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[1 1 2]
Let A=1 0 1 be the adjacency matrix for the graph
|2 1 0]
G, with vertices v,, V2, V3.
(i)
Find the number of walks of length 2, from v, to v,?
(ii)
Draw the graph G and label the edges e, (I = 1, 2, 3, ...)
(iii) Write down the walks of length 2 from v, to v. Which
ones are simple circuits?
Transcribed Image Text:[1 1 2] Let A=1 0 1 be the adjacency matrix for the graph |2 1 0] G, with vertices v,, V2, V3. (i) Find the number of walks of length 2, from v, to v,? (ii) Draw the graph G and label the edges e, (I = 1, 2, 3, ...) (iii) Write down the walks of length 2 from v, to v. Which ones are simple circuits?
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