Quantitative Helly-type Theorems via Hypergraph Chains
arXiv:2303.08930
Abstract
We propose a combinatorial framework to analyze quantitative Helly-type questions. Using this framework, we prove a Quantitative Fractional Helly Theorem with Fractional Helly Number 3d and a stability version of the Quantitative Helly Theorem of Bárány, Katchalski, and Pach.
9 pages