English

On the Tur\'an number of the $G_{3\times 3}$ in linear hypergraphs

Combinatorics 2025-07-29 v3

Abstract

We show a construction for dense 3-uniform linear hypergraphs without 3×33\times 3 grids, improving the lower bound on its Tur\'an number.

Keywords

Cite

@article{arxiv.2504.16973,
  title  = {On the Tur\'an number of the $G_{3\times 3}$ in linear hypergraphs},
  author = {Jozsef Solymosi},
  journal= {arXiv preprint arXiv:2504.16973},
  year   = {2025}
}