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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Orientable biembeddings of Steiner triple systems of order 15

M. J. Grannell1, T. 8. Griggs1, M. Knor2
1Department of Mathematics The Open University, Walton Hall Milton Keynes MK7 6AA UNITED KINGDOM
2Department of Mathematics Faculty of Civil Engineering Slovak University of Technology Radlinského 11 813 68 Bratislava SLOVAKIA
  • Published: 28/02/2009

Abstract

A complete enumeration is given of orientable biembeddings involving five of the \( 80 \) Steiner triple systems of order \( 15 \). As a consequence, it follows that each of the \( 80 \) systems has a biembedding in an orientable surface, and precisely \( 78 \) of the systems have orientable self-embeddings.

Keywords: Steiner triple system, biembedding, orientable surface.
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Citation
M. J. Grannell, T. 8. Griggs, M. Knor. Orientable biembeddings of Steiner triple systems of order 15[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 068. 129-136. DOI: .