Question: 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

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 interger k, does G contain a clique of size k or more.

(a) Show that k-Clique is NP-complete

(b) Is Max-Clique Np-complete?

(c) Prove Max- clique is NP-hard?

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