A constraint on the biembedding of Latin squares

Lefevre, J. G.; Donovan, D. M.; Grannell, M. J. and Griggs, T. S. (2009). A constraint on the biembedding of Latin squares. European Journal of Combinatorics, 30(2) pp. 380–386.

DOI: https://doi.org/10.1016/j.ejc.2008.05.007

Abstract

We give a necessary condition for the biembedding of two Latin squares in an orientable surface. As a consequence, it is shown that for n≥2, there is no biembedding of two Latin squares both lying in the same main class as the square obtained from the Cayley table of the Abelian 2-group.

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