Question: b) (20pts) Prove that the following problem is NP-complete. HAM-CYCLE Input: graph G=(V, E) Output: True if and only if there is a simple cycle

b) (20pts) Prove that the following problem is NP-complete. HAM-CYCLE Input:

b) (20pts) Prove that the following problem is NP-complete. HAM-CYCLE Input: graph G=(V, E) Output: True if and only if there is a simple cycle including every node in V. In addition to the reduction, explain your basic method in 5-15 lines. b) (20pts) Prove that the following problem is NP-complete. HAM-CYCLE Input: graph G=(V, E) Output: True if and only if there is a simple cycle including every node in V. In addition to the reduction, explain your basic method in 5-15 lines

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