I know that this problem is similar to the hamming cycle problem, But how can I show that the hamming cycle problem reduces to this problem in a polynomial number of steps?
2026-03-28 06:16:35.1774678595
In graph G finding a cycle with no duplicate vertices of length at least k is NP complete.
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You mean the Hamilton cycle problem.
To reduce the Hamilton cycle problem to this problem, simply set $k$ to the number of vertices in the graph.