Improved bounds on the Hadwiger-Debrunner numbers

Chaya Keller, Shakhar Smorodinsky, Gabor Tardos

Let $H{D}_d(p,q)$ denote the minimal size of a transversal that can always be guaranteed for a family of compact convex sets in ${\mathbb{R}}^d$ which satisfy the $(p,q)$-property ($p…