Let G=(V, E) be a simple graph. Let R be the relation on V consisting

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Module 1: Sets, Relation and Function.

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Let $G=(V, E)$ 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.

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