Question: 4. (3 points) Recall that Hamiltonian Cycle problem is defined as follows: - Input: An undirected graph G. - Question: Is G Hamiltonian (meaning that

4. (3 points) Recall that Hamiltonian Cycle problem is defined as

4. (3 points) Recall that Hamiltonian Cycle problem is defined as follows: - Input: An undirected graph G. - Question: Is G Hamiltonian (meaning that it contains a simple cycle that visits all the vertices)? 1 Let X be the following problem: - Input: An undirected graph G, and an integer k0. - Question: Can G be made Hamiltonian by adding at most k edges to it

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