(15 pts) Consider the TRIANGLE REMOVAL problem. We are given an undirected graph G = (V, E), and an integer k, is it possible to find a set of vertices U ⊂ V where |U| < k such that deleting these vertices removes all the triangles (i.e. cycles of length 3) from the graph.(a) (5 pts) Prove that TRIANGLE REMOVAL is in NP.(b) (10 pts) Prove that TRIANGLE REMOVAL is NP-complete by showing VERTEX COVER <P TRIANGLE REMOVAL.
(15 pts) Consider the TRIANGLE REMOVAL problem. We are given …
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