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Biembeddings of Abelian groups

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

DOI (Digital Object Identifier) Link: https://doi.org/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 Item
Copyright Holders: 2009 Wiley Periodicals Inc.
ISSN: 1063-8539
Keywords: topological embedding; Latin square; Cayley table; Abelian group; complete tripartite graph
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 19496
Depositing User: Colin Smith
Date Deposited: 15 Jan 2010 16:03
Last Modified: 16 Oct 2017 08:38
URI: http://oro.open.ac.uk/id/eprint/19496
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