Grannell, M.J.; Griggs, T.S and Knor, M.
Biembeddings of Latin squares and Hamiltonian decompositions.
Glasgow Mathematical Journal, 46(3) pp. 443–457.
Face 2-colourable triangulations of complete tripartite graphs correspond to biembeddings of Latin squares. Up to isomorphism, we give all such embeddings for and 6, and we summarize the corresponding results for . Closely related to these are Hamiltonian decompositions of complete bipartite directed graphs , and we also give computational results for these in the cases and 6.
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