Complete subgraph of at least k vertices

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The clique problem can be stated as follows: Given an undirected graph, G = (V, E), and an integer, K, does G contain a complete subgraph of at least K vertices?

The vertex cover problem can be stated as follows: Given an undirected graph, G = (V, E), and an integer, K, does G contain a subset Vt ⊂ V such that |Vt| ≤ K and every edge in G has a vertex in Vt? Show that the clique problem is polynomially reducible to vertex cover.

Reference no: EM13968318

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