Biembeddings of symmetric configurations of triples

Grannell, M. J.; Griggs, T. S. and Knor, M. (2004). Biembeddings of symmetric configurations of triples. In: Proceedings of the MaGiA Conference, 15-17 Oct 2004, Kocovce.

Abstract

We discuss the problem of biembedding a pair of symmetric configurations of triples in a closed surface. We prove that if the system is cyclic and connected, then it is embeddable only in the torus, and the embedding is unique. We also review computer results for systems on $v\le 10$ vertices.

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