What is Vertex in Math? | Easy Definition in 30 Seconds | MATHalino123
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What is Vertex in Math? | Easy Definition in 30 Seconds | MATHalino123
A vertex is the point where two or more lines, edges, or rays meet, forming a corner in a shape or figure. The plural of vertex is vertices. In geometry, vertices are found in polygons (like triangles and squares), 3D shapes (like cubes and pyramids), and angles (where two rays meet). Watch this quick math short to understand what a vertex is ...
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Vertex Cover Problem
(a) Show that the vertex cover problem is, in fact, NP-complete... | Filo
(a) Show that the vertex cover problem is, in fact, NP-complete... | Filo
askfilo.com
2 months ago
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.
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.
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