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Problem 4:34-1 about Independent set 34-1: Independent set. An independent set o

ID: 655382 • Letter: P

Question

Problem 4:34-1 about Independent set

34-1: Independent set. An independent set of a graph G = (V, E) is a subset V

0 ? V of vertices such that each edge in E is incident on at most one vertex in V . The independent-set problem is to find a maximum-size independent set in G. Formulate a related decision problem for the independent-set problem, and prove that it is NP-complete. (Hint: Reduce from the clique problem.)The decision version of independent set is as follow. Given a graph G = (V, E) and integer 1 ? k ? |V |, decide whether there is an independent set V

Explanation / Answer

Independent set