Question: . A clique in an undirected graph G = ( V , E ) is a subset C V of vertices in which every pair

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A clique in an undirected graph G =(V, E) is a subset C V of vertices in which every pair of vertices is connected by an edge. (In other words, C V is a clique if for all v, w in C, we have {v, w} in E.) The size of a clique C is defined to be the number of vertices in set C.
The CLIQUE decision problem isgiven a graph G and a number kto determine if there is a clique of size k in G.
Prove that if there is a polynomial-time algorithm for the CLIQUE problem then there is a polynomial-time algorithm for the INDEPENDENT-SET problem.

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