Question: NP-completeness Given an undirected graph G = (V, E) and an integer k, the k-CLIQUE problem is that of determining if there is a set

NP-completeness Given an undirected graph G = (V, E) and an

NP-completeness Given an undirected graph G = (V, E) and an integer k, the k-CLIQUE problem is that of determining if there is a set of k vertices such that every pair of these vertices defines an edge. Given an undirected graph G (V, E) and an integer k, the k-INDEPENDENT SET problem (or k-IS for short) is that of determining if there is a set of k vertices suclh that no pair of these vertices defines an edge. ASSUME that k-CLIQUE is NP-complete. PROVE that k-INDEPENDENT SET is N P-complete. NP-completeness Given an undirected graph G = (V, E) and an integer k, the k-CLIQUE problem is that of determining if there is a set of k vertices such that every pair of these vertices defines an edge. Given an undirected graph G (V, E) and an integer k, the k-INDEPENDENT SET problem (or k-IS for short) is that of determining if there is a set of k vertices suclh that no pair of these vertices defines an edge. ASSUME that k-CLIQUE is NP-complete. PROVE that k-INDEPENDENT SET is N P-complete

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