Question: Define INDEPENDENT-SET as the problem that takes a graph G and an integer k and asks whether G contains an independent set of vertices of

Define INDEPENDENT-SET as the problem that takes a graph G and an integer k and asks whether G contains an independent set of vertices of size k. That is, G contains a set I of vertices of size k such that, for any v and ω in I, there is no edge (v, ω) in G. Show that INDEPENDENT-SET is NP-complete.

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