English

The uniform Tur\'an density of large stars

Combinatorics 2024-09-06 v1

Abstract

We asymptotically resolve the the uniform Tur\'an density problem for the large stars. In particular, we show that the uniform Tur\'an density of the kk-star SkS_k is k25k+7(k1)2\frac{k^2-5k+7}{(k-1)^2} for k48k\ge 48, matching a lower construction by Reiher, R\"odl and Schacht.

Keywords

Cite

@article{arxiv.2409.03699,
  title  = {The uniform Tur\'an density of large stars},
  author = {Ander Lamaison and Zhuo Wu},
  journal= {arXiv preprint arXiv:2409.03699},
  year   = {2024}
}