Minimum blocking sets for families of partitions

Guillermo Gamboa Quintero, Ida Kantor

A $3$-partition of an $n$-element set $V$ is a triple of pairwise disjoint nonempty subsets $X,Y,Z$ such that $V=X\cup Y\cup Z$. We determine the minimum size ${\phi }_3(n)$ of a set $\m…