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Please show all the steps as detailed as possible. 4.) NPC, NP-Hardness Given: Max-Clique problem: Given a graph G(V,E) find the largest clique (a set

Please show all the steps as detailed as possible.

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4.) NPC, NP-Hardness Given: Max-Clique problem: Given a graph G(V,E) find the largest clique (a set of nodes such that all pairs in the set are neighbors.) k-Clique problem: given g and integer k, does G contain a clique of size k or more. (a) Show that k-Clique is NP-complete (b) ls Max-Clique Np-complete? (c) Prove Max-clique is NP-hard

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