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2023-03-15
Quantitative Helly-type Theorems via Hypergraph Chains
Attila Jung
文献摘要
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.
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