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P3 [20 points] DENSE-SUBGRAPH: Given a graph G and two integers m and n, does G have a set of m vertices with at least

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P3 [20 points] DENSE-SUBGRAPH: Given a graph G and two integers m and n, does G have a set of m vertices with at least n edges between them? Prove that DENSE-SUBGRAPH is NP-complete

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