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math.CO2023
Quantitative Helly-type Theorems via Hypergraph Chains
Attila Jung
We propose a combinatorial framework to analyze quantitative Helly-type questions. Using this framework, we prove a Quantitative Fractional Helly Theorem with Fractional Helly Numb…
math.CO2023
On Helly numbers of exponential lattices
Gergely Ambrus, Martin Balko, Nóra Frankl +2
Given a set , define the \emph{Helly number of }, denoted by , as the smallest positive integer , if it exists, for which the following statem…