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Consider the following problem 2-CLIQUE, and prove that it is NP-complete: Given a graph G and a number k, does G contain at least two

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Consider the following problem 2-CLIQUE, and prove that it is NP-complete: Given a graph G and a number k, does G contain at least two subsets of nodes of size k, each of which is a clique (all nodes in that subset are connected to every other node in that subset)

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