Consider the matrix A = 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 (a) Draw a

Chapter 1, Problem 32

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Consider the matrix A = 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 (a) Draw a graph that has A as its adjacency matrix. Be sure to label the vertices of the graph. (b) By inspecting the graph, determine the number of walks of length 2 from V2 to V3 and from V2 to V5. (c) Compute the second row of A3, and use it to determine the number of walks of length 3 from V2 to V3 and from V2 to V5. 3

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