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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