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Biembedding Abelian groups with mates having transversals

Grannell, M. J. and Knor, M. (2012). Biembedding Abelian groups with mates having transversals. Journal of Combinatorial Designs, 20(2) pp. 81–88.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1002/jcd.20299
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Abstract

A certain recursive construction for biembeddings of Latin squares has played a substantial role in generating large numbers of nonisomorphic triangular embeddings of complete graphs. In this paper we prove that, except for the groups $C_2, C_2^2$ and $C_4$, each Latin square formed from the Cayley table of an Abelian group appears in a biembedding in which the second Latin square has a transversal. Such biembeddings may then be freely used as ingredients in the recursive construction.

Item Type: Journal Article
Copyright Holders: 2011 Wiley Periodicals, Inc.
ISSN: 1520-6610
Keywords: Abelian group; Cayley table; complete tripartite graph; Latin square; topological embedding; transversal
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 32165
Depositing User: Mike Grannell
Date Deposited: 03 Feb 2012 14:52
Last Modified: 30 Nov 2012 10:37
URI: http://oro.open.ac.uk/id/eprint/32165
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