Geodesic
Properties of the Steiner triple systems of order 19
The electronic journal of combinatorics, Tome 17 (2010)

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl EuDML
Properties of the 11$\,$084$\,$874$\,$829 Steiner triple systems of order 19 are examined. In particular, there is exactly one 5-sparse, but no 6-sparse, STS(19); there is exactly one uniform STS(19); there are exactly two STS(19) with no almost parallel classes; all STS(19) have chromatic number 3; all have chromatic index 10, except for 4$\,$075 designs with chromatic index 11 and two with chromatic index 12; all are 3-resolvable; and there are exactly two 3-existentially closed STS(19).
DOI : 10.37236/370
Classification : 05B07
Mots-clés : automorphism, chromatic index, chromatic number, configuration, cycle structure, existential closure, independent set, partial parallel class, rank, Steiner triple system of order 19 
Charles J. Colbourn; Anthony D. Forbes; Mike J. Grannell; Terry S. Griggs; Petteri Kaski; Patric R. J. Östergård; David A. Pike; Olli Pottonen. Properties of the Steiner triple systems of order 19. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/370
@article{10_37236_370,
     author = {Charles J. Colbourn and Anthony D. Forbes and Mike J. Grannell and Terry S. Griggs and Petteri Kaski and Patric R. J. \"Osterg\r{a}rd and David A. Pike and Olli Pottonen},
     title = {Properties of the {Steiner} triple systems of order 19},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/370},
     zbl = {1193.05039},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/370/}
}
TY  - JOUR
AU  - Charles J. Colbourn
AU  - Anthony D. Forbes
AU  - Mike J. Grannell
AU  - Terry S. Griggs
AU  - Petteri Kaski
AU  - Patric R. J. Östergård
AU  - David A. Pike
AU  - Olli Pottonen
TI  - Properties of the Steiner triple systems of order 19
JO  - The electronic journal of combinatorics
PY  - 2010
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.37236/370/
DO  - 10.37236/370
ID  - 10_37236_370
ER  - 
%0 Journal Article
%A Charles J. Colbourn
%A Anthony D. Forbes
%A Mike J. Grannell
%A Terry S. Griggs
%A Petteri Kaski
%A Patric R. J. Östergård
%A David A. Pike
%A Olli Pottonen
%T Properties of the Steiner triple systems of order 19
%J The electronic journal of combinatorics
%D 2010
%V 17
%U http://geodesic.mathdoc.fr/articles/10.37236/370/
%R 10.37236/370
%F 10_37236_370

Cité par Sources :