Covers in Partitioned Intersecting Hypergraphs

Ron Aharoni, C. J. Argue

Given an integer $r$ and a vector $\vec{a}=(a_1,\dots ,a_p)$ of positive numbers with ${\sum }_{i\le p}{a}_i=r$, an $r$-uniform hypergraph $H$ is said to be $\vec{a}$-partitioned if…