Grannell, M. J. and Knor, M.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1002/jcd.20299|
|Google Scholar:||Look up in Google Scholar|
A certain recursive construction for biembeddings of Latin squares has played a substantial role in generating large numbers of nonisomorphic triangular embeddings of complete graphs. In this paper we prove that, except for the groups and , each Latin square formed from the Cayley table of an Abelian group appears in a biembedding in which the second Latin square has a transversal. Such biembeddings may then be freely used as ingredients in the recursive construction.
|Item Type:||Journal Article|
|Copyright Holders:||2011 Wiley Periodicals, Inc.|
|Keywords:||Abelian group; Cayley table; complete tripartite graph; Latin square; topological embedding; transversal|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Mike Grannell|
|Date Deposited:||03 Feb 2012 14:52|
|Last Modified:||04 Oct 2016 11:14|
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