Let A be the adjacency matrix of a graph G a. By induction, prove that for all
Question:
a. By induction, prove that for all n ≥ 1, the (i, j) entry of A" is equal to the number of n-paths between vertices i and j.
b. How do the statement and proof in part (a) have to be modified if G is a digraph?
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Let G be a graph with m vertices and A a ij its adjacency matrix a The basis for the induction is n ...View the full answer
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