Question: Given an undirected graph G = (V, E) and an integer k. A clique of G is a subset V' V of vertices, each pair

Given an undirected graph G = (V, E) and an integer k. A clique of G is a subset V' V of vertices, each pair of which is connected by an edge in E. The Clique problem asks whether G contains a clique of size at least k. An independent set of G is a subset V' V of vertices such that each edge in E is incident on at most one vertex in V' . The Independent-Set problem asks whether G' contains an independent set of size at least k' . We proved in class that the Clique problem is NP-complete. Show that the independent set problem is same by reduction from Clique problem.

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