Abstract
Kreweras conjectured that every perfect matching of a hypercube Qn for n≥2 can be extended to a hamiltonian cycle of Qn. Fink confirmed the conjecture to be true. It is more general to ask whether every perfect matching of Qn for n≥2 can be extended to two or more hamiltonian cycles of Qn. In this paper, we prove that every perfect matching of Qn for n≥4 can be extended to at least 22n−4 different hamiltonian cycles of Qn.
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