ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXV, 2 (2006)
p. 163 - 172
Orientable self-embeddings of Steiner triple systems of order 15
G. K. Bennett, M. J. Grannell and T. S. Griggs
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 K15 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.
AMS Subject classification: Primary: 05B07, 05C10.
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Acta Mathematica Universitatis Comenianae
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