Orientable self-embeddings of Steiner triple systems of order 15

Bennett, G.K.; Grannell, M.J. and Griggs, T.S. (2006). Orientable self-embeddings of Steiner triple systems of order 15. Acta Mathematica Universitatis Comenianae, 75(2) pp. 163–172.

URL: http://pc2.iam.fmph.uniba.sk/amuc/_vol-75/_no_2/_b...

Abstract

It is shown that for 78 of the 80 isomorphism classes of Steiner triple systems of order 15 it is possible to find a face 2-colourable triangulation of the complete graph K_ in an orientable surface in which the colour classes both form representatives of the specified isomorphism class. For one of the two remaining isomorphism classes it is proved that this is not possible. We also discuss the remaining open case.

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About

• Item ORO ID
• 7078
• Item Type
• Journal Item
• ISSN
• 0862-9544
• Keywords
• Steiner triple system; triangular embedding
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2006 Acta Mathematica Universitatis Comenianae
• Depositing User
• Mike Grannell