On determining when small embeddings of partial Steiner triple systems exist

Darryn Bryant, Ajani De Vas Gunasekara, Daniel Horsley

A partial Steiner triple system of order $u$ is a pair $(U,\mathcal{A})$ where $U$ is a set of $u$ elements and $\mathcal{A}$ is a set of triples of elements of $U$ such that any t…