English

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

Combinatorics 2020-05-05 v2

Abstract

In this paper, we consider maximum possible value for the sum of cardinalities of hyperedges of a hypergraph without a Berge 44-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.

Cite

@article{arxiv.2001.01184,
  title  = {A note on maximum size of Berge-$C_4$-free hypergraphs},
  author = {Beka Ergemlidze},
  journal= {arXiv preprint arXiv:2001.01184},
  year   = {2020}
}
R2 v1 2026-06-23T13:03:03.517Z