Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1
Citer cet article
G. K. Bennett; M. J. Grannell; T. S. Griggs. Non-orientable Biembeddings of Steiner Triple Systems
of Order 15. Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a8/
@article{AMUC_2004_73_1_a8,
author = {G. K. Bennett and M. J. Grannell and T. S. Griggs},
title = {Non-orientable {Biembeddings} of {Steiner} {Triple} {Systems
of} {Order} 15},
journal = {Acta mathematica Universitatis Comenianae},
year = {2004},
volume = {73},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a8/}
}
TY - JOUR
AU - G. K. Bennett
AU - M. J. Grannell
AU - T. S. Griggs
TI - Non-orientable Biembeddings of Steiner Triple Systems
of Order 15
JO - Acta mathematica Universitatis Comenianae
PY - 2004
VL - 73
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a8/
ID - AMUC_2004_73_1_a8
ER -
%0 Journal Article
%A G. K. Bennett
%A M. J. Grannell
%A T. S. Griggs
%T Non-orientable Biembeddings of Steiner Triple Systems
of Order 15
%J Acta mathematica Universitatis Comenianae
%D 2004
%V 73
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a8/
%F AMUC_2004_73_1_a8
It is shown that each possible pair of the 80 isomorphism classes of Steiner triple systems of order 15 may be realized as the colour classes of a face 2-colourable triangulation of the complete graph in a non-orientable surface. This supports the conjecture that every pair of STS($n$)s, $n \ge 9$, can be biembedded in a non-orientable surface.
