Let G be an undirected graph with vertex set V. Define the relation R on V by

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Let G be an undirected graph with vertex set V. Define the relation R on V by v R w if v = w or if there is a path from v to w (or from w to v since G is undirected),
(a) Prove that is an equivalence relation on V.
(b) What can we say about the associated partition?
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