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Biembeddings of Latin squares of side 8

Grannell, Mike; Griggs, Terry and Knor, M. (2007). Biembeddings of Latin squares of side 8. Quasigroups and Related Systems, 15(2) pp. 273–278.

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Abstract

Face 2-colourable triangular embeddings of complete tripartite graphs $K_{n,n,n}$ correspond to biembeddings of Latin squares of side $n$. We consider biembeddings that contain any of the five Latin squares derived from the Cayley tables of finite groups of order 8. Up to isomorphism, we determine all such biembeddings.

Item Type: Journal Article
ISSN: 1561-2848
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 22763
Depositing User: Mike Grannell
Date Deposited: 18 Aug 2010 12:47
Last Modified: 04 Oct 2016 10:42
URI: http://oro.open.ac.uk/id/eprint/22763
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