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 (Digital Object Identifier) Link:	https://doi.org/10.1016/j.ejc.2008.05.007
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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.

Item Type:	Journal Item
Copyright Holders:	2009 Elsevier
ISSN:	0195-6698
Academic Unit/School:	Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID:	18360
Depositing User:	Colin Smith
Date Deposited:	07 Sep 2009 15:59
Last Modified:	04 Oct 2016 10:27
URI:	http://oro.open.ac.uk/id/eprint/18360
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