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The Hamilton-Waterloo problem with C8-factors and Cm-factors

arXiv:1609.09321 · doi:10.1016/j.disc.2017.06.024

Abstract

In this paper, we almost completely solve the Hamilton-Waterloo problem with C8- factors and Cm-factors where the number of vertices is a multiple of 8m.

Hamilton-Waterloo problem; 2-factorization; cycle decomposition