Intersections Of Triple Systems: Small Orders

Abstract

The set of all possible intersection sizes between two simple triple systems $TS(v,{\lambda }_1)$ and $TS(v,{\lambda }_2)$ is denoted by $Int(v,{\lambda }_1,{\lambda }_2)$. In this paper, for $6\le v\le 14$, and for all feasible $\lambda$’s, $Int(v,{\lambda }_1,{\lambda }_2)$ is determined.