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Biembeddings of Latin squares and Hamiltonian decompositions

Grannell, M.J.; Griggs, T.S and Knor, M. (2004). Biembeddings of Latin squares and Hamiltonian decompositions. Glasgow Mathematical Journal, 46(3) pp. 443–457.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1017/S0017089504001922
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Abstract

Face 2-colourable triangulations of complete tripartite graphs $K_{n,n,n}$ correspond to biembeddings of Latin squares. Up to isomorphism, we give all such embeddings for $n=3,4,5$ and 6, and we summarize the corresponding results for $n=7$. Closely related to these are Hamiltonian decompositions of complete bipartite directed graphs $K^*_{n,n}$, and we also give computational results for these in the cases $n=3,4,5$ and 6.

Item Type: Journal Article
Copyright Holders: 2004 Glasgow Mathematical Journal Trust
ISSN: 1469-509X
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetLeverhulme Trust under grant F/00269/E.
Academic Unit/Department: Mathematics, Computing and Technology
Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 2152
Depositing User: Mike Grannell
Date Deposited: 06 Jun 2006
Last Modified: 25 Jul 2011 14:28
URI: http://oro.open.ac.uk/id/eprint/2152
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