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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.

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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
Mathematics, Computing and Technology
Item ID: 32165
Depositing User: Mike Grannell
Date Deposited: 03 Feb 2012 14:52
Last Modified: 18 Jan 2016 12:09
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