The existence of Ck-factorizations of K2n - F

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Abstract

A necessary condition for the existence of a Ck-factorization of K2n - F is that k divides 2n. It is known that neither K6 - F nor K12 - F admit a C3-factorization. In this paper we show that except for these two cases, the necessary condition is also sufficient. © 1991.

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Hoffman, D. G., & Schellenberg, P. J. (1991). The existence of Ck-factorizations of K2n - F. Discrete Mathematics, 97(1–3), 243–250. https://doi.org/10.1016/0012-365X(91)90440-D

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