Question: Let G be a graph with adjacency matrix A. Show that Tr(A3) equals 6 times the total number of triangles in G. [Note: Tr(A) is

Let G be a graph with adjacency matrix A. Show that Tr(A3) equals 6 times the total number of triangles in G. [Note: Tr(A) is the Trace of the matrix A, which is the sum of the diagonal elements of A.]

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