Steiner triple systems without parallel classes
Combinatorics
2020-07-28 v3
Abstract
We construct Steiner triple systems without parallel classes for an infinite number of orders congruent to . The only previously known examples have order or .
Keywords
Cite
@article{arxiv.1407.5766,
title = {Steiner triple systems without parallel classes},
author = {Darryn Bryant and Daniel Horsley},
journal= {arXiv preprint arXiv:1407.5766},
year = {2020}
}
Comments
5 pages, 0 figures. This version fixes a minor error in the journal version of the paper where we had neglected to say that two sum-zero triples must be removed before the additional triples in $\mathcal{B}^\infty \cup \mathcal{B}^*$ are added to create the Steiner triple system