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On biembeddings of Latin squares

Grannell, M. J.; Griggs, T. S. and Knor, M. (2009). On biembeddings of Latin squares. Electronic Journal of Combinatorics, 16(1) R106.

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A known construction for face 2-colourable triangular embeddings of complete regular tripartite graphs is re-examined from the viewpoint of the underlying Latin squares. This facilitates biembeddings of a wide variety of Latin squares, including those formed from the Cayley tables of the elementary Abelian 2-groups Ck2 (k≠2). In turn, these biembeddings enable us to increase the best known lower bound for the number of face 2-colourable triangular embeddings of Kn,n,n for an infinite class of values of n.

Item Type: Journal Article
Copyright Holders: 2009 The Author
ISSN: 1077-8926
Extra Information: "k2" in the expression "Ck2" has not reproduced properly in the above version of the abstract. "k2" should be stacked.
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 18492
Depositing User: Colin Smith
Date Deposited: 23 Sep 2009 11:18
Last Modified: 15 Jan 2016 11:56
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