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PreviousThe sequence 8, 11, 9, 1, 4, 6, 12, 10, 5, 7 contains 10 terms. Note that 10 = 3^2 + 1. There are four strictly increasing subsequences of length four, namely, 1, 4, 6, 12; 1, 4, 6, 7; 1, 4, 6, 10; and 1, 4, 5, 7. There is also a strictly decreasing subsequence of length four, namely, 11, 9, 6, 5.NextLet G=(V, E) be a simple graph. Let R be the relation on V consisting of pairs of vertices (u,v) such that there is a path from u to v or such that u=v. Show that R is an equivalence relation.