A construction for biembeddings of Latin squares

Grannell, Mike and Knor, Martin (2011). A construction for biembeddings of Latin squares. Electronic Journal of Combinatorics, 18(1)

URL: http://www.emis.de/journals/EJC/Volume_18/PDF/v18i...

Abstract

An existing construction for face 2-colourable triangular embeddings of complete regular tripartite graphs is extended and then re-examined from the viewpoint of the underlying Latin squares. We prove that this generalization gives embeddings which are not isomorphic to any of those produced by the original construction.

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