Biembeddings of Abelian groups

Grannell, M. J. and Knor, M. (2010). Biembeddings of Abelian groups. Journal of Combinatorial Designs, 18(1) pp. 71–83.

DOI: https://doi.org/10.1002/jcd.20235

Abstract

We prove that, with the single exception of the 2-group C²₂, the Cayley table of each Abelian group appears in a face 2-colorable triangular embedding of a complete regular tripartite graph in an orientable surface.

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About

• Item ORO ID
• 19496
• Item Type
• Journal Item
• ISSN
• 1063-8539
• Keywords
• topological embedding; Latin square; Cayley table; Abelian group; complete tripartite graph
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2009 Wiley Periodicals Inc.
• Depositing User
• Colin Smith