Block avoiding point sequencings of partial Steiner systems

Daniel Horsley, Padraig Ó Catháin

A partial $(n,k,t{)}_{\lambda }$-system is a pair $(X,\mathcal{B})$ where $X$ is an $n$-set of vertices and $\mathcal{B}$ is a collection of $k$-subsets of $X$ called blocks such that each $t…