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arXiv · 2001.01184

A note on maximum size of Berge-$C_4$-free hypergraphs

Beka Ergemlidze
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Abstract

In this paper, we consider maximum possible value for the sum of cardinalities of hyperedges of a hypergraph without a Berge $4$-cycle. We significantly improve the previous upper bound provided by Gerbner and Palmer. Furthermore, we provide a construction that slightly improves the previous lower bound.

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Beka Ergemlidze. 2020-05-04. A note on maximum size of Berge-$C_4$-free hypergraphs. https://arxiv.org/abs/2001.01184

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