Properties of Steiner triple systems of order 21
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914650884407296 |
|---|---|
| author | Erskine, Grahame Griggs, Terry S. |
| author_facet | Erskine, Grahame Griggs, Terry S. |
| contents | Properties of the 62,336,617 Steiner triple systems of order 21 with a non-trivial automorphism group are examined. In particular, there are 28 which have no parallel class, six that are 4-chromatic, five that are 3-balanced, 20 that avoid the mitre, 21 that avoid the crown, one that avoids the hexagon and two that avoid the prism. All systems contain the grid. None have a block intersection graph that is 3-existentially closed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Properties of Steiner triple systems of order 21 Erskine, Grahame Griggs, Terry S. Combinatorics 05B07 Properties of the 62,336,617 Steiner triple systems of order 21 with a non-trivial automorphism group are examined. In particular, there are 28 which have no parallel class, six that are 4-chromatic, five that are 3-balanced, 20 that avoid the mitre, 21 that avoid the crown, one that avoids the hexagon and two that avoid the prism. All systems contain the grid. None have a block intersection graph that is 3-existentially closed. |
| title | Properties of Steiner triple systems of order 21 |
| topic | Combinatorics 05B07 |
| url | https://arxiv.org/abs/2401.13356 |