Vertex Cover Problem - SlideServe
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Vertex Cover Problem - SlideServe
Vertex Cover Problem. Given a graph G=(V, E), find V' ⊆ V such that for each edge (u, v) ∈ E at least one of u and v belongs to V ’ and |V’| is minimized . V' is called the vertex cover. The problem is NP-hard. A ratio-2 algorithm exists for vertex cover problem. Ratio-2 Algorithm.
Jan 6, 2020
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From the proof of Theorem 34.12, we know that the vertex-cover problem and the NP-complete clique problem are complementary in the sense that an optimal vertex cover is the complement of a maximum-size clique in the complement graph. Does this relationship imply that there is a polynomial-time approximation algorithm with a constant approximation ratio for the clique problem? Justify your answer. | Numerade
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