Abstract: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.
Keywords: topological embedding, torus, Klein bottle, 6-regular graph, symmetric configuration of triples, partial Latin square, 3-homogeneous Latin trade
AMS Subject Classification: 05B15, 05B30, 05C10