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- W2796100888 abstract "Kreweras conjectured that every perfect matching in a hypercube Q n for n ≥ 2 extends to a hamiltonian cycle of Q n . Fink confirmed the conjecture to be true. The k -ary n -cube Q n k is a generalization of the hypercube. However, the analogous result does not necessarily hold for Q n k . We can find a perfect matching in Q 2 6 which is not contained in any hamiltonian cycle of Q 2 6 . In this paper, we investigate the existence of a hamiltonian cycle passing through a perfect matching in Q n k . For an integer n ≥ 2 and an even integer k ≥ 6 , we prove that every perfect matching in Q n k consisting of edges in the same dimension can be extended to a hamiltonian cycle of Q n k ." @default.
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- W2796100888 date "2018-06-01" @default.
- W2796100888 modified "2023-10-16" @default.
- W2796100888 title "A type of perfect matchings extend to hamiltonian cycles in k-ary n-cubes" @default.
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- W2796100888 doi "https://doi.org/10.1016/j.tcs.2018.03.029" @default.
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