I'm looking for non-Hamiltonian graphs with 2 (or more) disjoint perfect matching. Every graph I can think of that obeys one property but fails the other.
2026-03-26 14:25:22.1774535122
Non-Hamiltonian Graphs with Disjoint Perfect Matchings?
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Try this one. Two disjoint perfect matchings are $(1,2),(3,4),(5,6),(7,8)$ and $(1,4),(2,3),(5,6),(7,8)$.