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Given a graph G = (V, E) and a subset S V, show that the following three statements are equivalent: 1. S is an independent
Given a graph G = (V, E) and a subset S V, show that the following three statements are equivalent:
1. S is an independent set.
2. V - S is a vertex cover
3. S is a clique in the complemented graph = (V, ), where two vertices are adjacent if and only if they are not adjacent in G.
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