Geodesic
Biembeddings of symmetric configurations and 3-homogeneous Latin trades
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 3, pp. 411-420.

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Using results of Altshuler and Negami, we present a classification of biembeddings of symmetric configurations of triples in the torus or Klein bottle. We also give an alternative proof of the structure of 3-homogeneous Latin trades.
Classification : 05B15, 05B30, 05C10
Keywords: topological embedding; torus; Klein bottle; 6-regular graph; symmetric configuration of triples; partial Latin square; 3-homogeneous Latin trade 
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     title = {Biembeddings of symmetric configurations and 3-homogeneous {Latin} trades},
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Grannell, M. J.; Griggs, T. S.; Knor, M. Biembeddings of symmetric configurations and 3-homogeneous Latin trades. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 3, pp. 411-420. http://geodesic.mathdoc.fr/item/CMUC_2008__49_3_a3/