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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.CO2021★ 2 cited
Shadow of Hypergraphs with Bounded Degree
Attila Jung
We study the size of the shadow of -uniform hypergraphs with bounded degree. Lower bounds on the ratio of the size of the shadow and the size of the hypergraph are given as a fu…