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arXiv · 2504.05162

On the order of intersecting hypergraphs

Stijn Cambie·Jaehoon Kim·Hyunwoo Lee·Hong Liu·Tuan Tran
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Abstract

Determining the maximum number of edges in an intersecting hypergraph on a fixed ground set under additional constraints is one of the central topics in extremal combinatorics. In contrast, there are few results on analogous problems concerning the maximum order of such hypergraphs. In this paper, we systematically study these vertex analogues.

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Stijn Cambie, Jaehoon Kim, Hyunwoo Lee, Hong Liu, Tuan Tran. 2025-04-07. On the order of intersecting hypergraphs. https://arxiv.org/abs/2504.05162

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