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Quarter-regular biembeddings of Latin squares

Donovan, D. M.; Drápal, A.; Grannell, M. J.; Griggs, T. S. and Lefevre, J. G. (2010). Quarter-regular biembeddings of Latin squares. Discrete Mathematics, 310(4) pp. 692–699.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.disc.2009.08.020
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Abstract

We apply a recursive construction for biembeddings of Latin squares to produce a new infinite family of biembeddings of cyclic Latin squares of even side having a high degree of symmetry. Reapplication of the construction yields two further classes of biembeddings.

Item Type: Journal Article
Copyright Holders: 2009 Elsevier B.V.
ISSN: 0012-365X
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetAustralian Research Council [grant numbers LX0453416 and DP0664030]
Not SetNot SetAustralian Mathematical Sciences Institute
Not SetNot SetInstitutional Grant MSM 0021620839
Keywords: biembedding; Latin square; orientable surface; regular embedding; transversal design
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 19454
Depositing User: Colin Smith
Date Deposited: 11 Jan 2010 12:58
Last Modified: 30 Nov 2012 10:37
URI: http://oro.open.ac.uk/id/eprint/19454
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