Question: Consider the Clique - IS problem: Input: Graph G = ( V , E ) and integer k . Output: Sets of vertices S and

Consider the Clique-IS problem:
Input: Graph G=(V,E) and integer k.
Output: Sets of vertices S and T where S is a clique in G and T is an independent set in G, S and T are disjoint, and S=k,T=k; or NO if none exist.
Prove that Clique-IS is NP-complete.

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