Properties of Steiner triple systems of order 21

Erskine, Grahame and Griggs, Terry S. (2024). Properties of Steiner triple systems of order 21. Discrete Mathematics, 347(11), article no. 114158.

DOI: https://doi.org/10.1016/j.disc.2024.114158

Abstract

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.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI