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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...
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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_{15} 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.

Item Type: Journal Article
Copyright Holders: 2006 Acta Mathematica Universitatis Comenianae
ISSN: 0862-9544
Keywords: Steiner triple system; triangular embedding
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 7078
Depositing User: Mike Grannell
Date Deposited: 05 Mar 2007
Last Modified: 13 Feb 2014 11:14
URI: http://oro.open.ac.uk/id/eprint/7078
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