Question: Let G = (V, E) be an undirected graph. An independent set (independent set) I V is a subset of the nodes so that

Let G = (V, E) be an undirected graph. An independent set (independent set) I V is a subset of the nodes so that no two nodes from I are connected by an edge. For a given graph G and a natural number kV the problem IS is the question of whether G has a k-element independent set. Prove: IS is NP-complete. Note: Reduce 3-CNF-SAT to IS.

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To show that IS is NPcomplete we need to show that it is both in NP and NPhard First lets show that IS is in NP Given a set of nodes I we can check in ... View full answer

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