
(20 points) Given an undirected graph G (V,E), IVn. Define an independent set I CV to be a set of vertices in V such that Yu, w є 1, (u, w) E, and a maximumi independent set of G to be an independent set with the maximum number of vertices. Design and analyze a greedy algorithm to compute a maximum independent set for G. Prove, or disprove, that your greedy algorithm
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