Consider the graph G = ({1, 2, 3, 4}, E), where E = {12, 13, 23, 24, 34}. (a) Find the adjacent matrix A of G. (b) Find A². (c) Find the number of walks of length 2 between vertices 1 and 4 and the number of walks of length 2 between vertex 1 and 1 itself.

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Consider the graph G = ({1, 2, 3, 4}, E), where E = {12, 13, 23, 24, 34}.
(a) Find the adjacent matrix A of G.
(b) Find A².
(c) Find the number of walks of length 2 between vertices 1 and 4 and the number of walks of
length 2 between vertex 1 and 1 itself.
(d) Find A¹.
(e) Find the number of walks of length 4 between vertices 1 and 4 and the number of walks of
length 4 between vertex 1 and 1 itself.
Transcribed Image Text:1. Consider the graph G = ({1, 2, 3, 4}, E), where E = {12, 13, 23, 24, 34}. (a) Find the adjacent matrix A of G. (b) Find A². (c) Find the number of walks of length 2 between vertices 1 and 4 and the number of walks of length 2 between vertex 1 and 1 itself. (d) Find A¹. (e) Find the number of walks of length 4 between vertices 1 and 4 and the number of walks of length 4 between vertex 1 and 1 itself.
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