Darryn Bryant, Daniel Horsley
Published 2014-07-22, updated 2020-07-27Version 3
We construct Steiner triple systems without parallel classes for an infinite number of orders congruent to $3 \pmod{6}$. The only previously known examples have order $15$ or $21$.
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
Flexibility and movability in Cayley graphs
On color-critical ($P_{5},\overline{P}_5$)-free graphs
A counterexample to a question of Hof, Knill and Simon
![QR code for arXiv:1407.5766 [math.CO]](http://oss.arxitics.com/images/favicon.svg)