Minimum Vertex Cover Problem 1A) Choose a simple and connected Graph G1 with 8 nodes such that MIN(VC) with (G1,2) as input has a negative solution, i e there not exists a cover 2 Explain Why does not exist a cover such that Vcmin 2 Vc is the cardinality of V I choose the Graph in figure 1B) Choose a simple and connected Graph G2 with 6 nodes such that MIN(VC) with (G2,3) as input has a negative solution, i e there not exists a cover 3 Explain Why does not exist a cover such that Vcmin 3 Vc is the cardinality of V Write the Graph and evidence the cover 1

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Question: Minimum Vertex Cover Problem: 1A) Choose a simple and connected Graph G1 with 8 nodes such that MIN(VC) with (G1,2) as input has a negative

Minimum Vertex Cover Problem:

1A)

Choose a simple and connected Graph G1 with 8 nodes such that MIN(VC) with (G1,2) as input has a negative solution, i.e. there not exists a cover 2 Explain Why does not exist a cover such that |Vcmin|2; |Vc| is the cardinality of V. I choose the Graph in figure.

Minimum Vertex Cover Problem: 1A) Choose a simple and connected Graph G1

1B)

Choose a simple and connected Graph G2 with 6 nodes such that MIN(VC) with (G2,3) as input has a negative solution, i.e. there not exists a cover 3 Explain Why does not exist a cover such that |Vcmin|3; |Vc| is the cardinality of V. Write the Graph and evidence the cover.

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