On biembeddings of Latin squares

Grannell, M. J.; Griggs, T. S. and Knor, M. (2009). On biembeddings of Latin squares. Electronic Journal of Combinatorics, 16(1), R106.

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URL:	http://www.combinatorics.org/Volume_16/Abstracts/v...
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Abstract

A known construction for face 2-colourable triangular embeddings of complete regular tripartite graphs is re-examined from the viewpoint of the underlying Latin squares. This facilitates biembeddings of a wide variety of Latin squares, including those formed from the Cayley tables of the elementary Abelian 2-groups Ck2 (k≠2). In turn, these biembeddings enable us to increase the best known lower bound for the number of face 2-colourable triangular embeddings of K_n,n,n for an infinite class of values of n.

Item Type:	Journal Article
Copyright Holders:	2009 The Author
ISSN:	1077-8926
Extra Information:	"k2" in the expression "Ck2" has not reproduced properly in the above version of the abstract. "k2" should be stacked.
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	18492
Depositing User:	Colin Smith
Date Deposited:	23 Sep 2009 11:18
Last Modified:	30 Nov 2012 10:37
URI:	http://oro.open.ac.uk/id/eprint/18492

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