Biembeddings of Abelian groups

Grannell, M. J. and Knor, M. (2010). Biembeddings of Abelian groups. Journal of Combinatorial Designs, 18(1), pp. 71–83.

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DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1002/jcd.20235
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Abstract

We prove that, with the single exception of the 2-group C²₂, the Cayley table of each Abelian group appears in a face 2-colorable triangular embedding of a complete regular tripartite graph in an orientable surface.

Item Type:	Journal Article
Copyright Holders:	2009 Wiley Periodicals Inc.
ISSN:	1063-8539
Keywords:	topological embedding; Latin square; Cayley table; Abelian group; complete tripartite graph
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	19496
Depositing User:	Colin Smith
Date Deposited:	15 Jan 2010 16:03
Last Modified:	30 Nov 2012 10:37
URI:	http://oro.open.ac.uk/id/eprint/19496

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