Question: An almost-Hamiltonian path is a path that either (1) is a Hamiltonian path itself, or (2) visits at most one vertex at most twice. So

An almost-Hamiltonian path is a path that either (1) is a Hamiltonian path itself, or (2) visits at most one vertex at most twice. So there cannot be an almost-Hamiltonian path where either two different vertices are visited twice, or a single vertex visited at least 3 times. Let AHAM = { : G contains an almost-Hamiltonian path}. Show that AHAM is NP-complete.

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