Provide a polynomial-time transformation

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Problem: Does G have p vertices such that there are at least q edges between them?

To show that this problem is NP-hard, reduce CLIQUE (known to be NP-hard) to DENSE SUBGRAPH.

Namely, provide a polynomial-time transformation of any instance (G, k) of CLIQUE into an instance (G', p, q) of DENSE SUBGRAPH such that G has a clique of size k if and only if G' has p vertices with at least q edges between them.

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Reference no: EM13702308

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