On Biembeddings of Latin Squares

@article{Grannell2009OnBO,
  title={On Biembeddings of Latin Squares},
  author={Mike J. Grannell and Terry S. Griggs and Martin Knor},
  journal={Electr. J. Comb.},
  year={2009},
  volume={16}
}
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 Ck 2 (k 6= 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… CONTINUE READING

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