Name
Abstract | ||
|---|---|---|
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). |
Year | Venue | Keywords |
|---|---|---|
2010 | ELECTRONIC JOURNAL OF COMBINATORICS | automorphism,chromatic index,chromatic number,configuration,cycle structure,existential closure,independent set,partial parallel class,rank,Steiner triple system of order 19 |
Field | DocType | Volume |
Edge coloring,Discrete mathematics,Monad (category theory),Combinatorics,Chromatic scale,Automorphism,Independent set,Mathematics,Steiner system | Journal | 17.0 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 8 |
PageRank | References | Authors |
1.00 | 12 | 8 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Charles J. Colbourn | 1 | 2726 | 290.04 |
| a d forbes | 2 | 8 | 1.00 |
| m j grannell | 3 | 12 | 1.96 |
| Terry S. Griggs | 4 | 41 | 12.83 |
| Petteri Kaski | 5 | 912 | 66.03 |
| patric r j ostergard | 6 | 8 | 1.00 |
| David A. Pike | 7 | 67 | 14.70 |
| Olli Pottonen | 8 | 86 | 8.99 |