The uniform Turán density of large stars

Fuente: arXiv
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Auteurs principaux: Lamaison, Ander, Wu, Zhuo
Format: Preprint
Publié: 2024
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author Lamaison, Ander
Wu, Zhuo
author_facet Lamaison, Ander
Wu, Zhuo
contents We asymptotically resolve the the uniform Turán density problem for the large stars. In particular, we show that the uniform Turán density of the $k$-star $S_k$ is $\frac{k^2-5k+7}{(k-1)^2}$ for $k\ge 48$, matching a lower construction by Reiher, Rödl and Schacht.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03699
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The uniform Turán density of large stars
Lamaison, Ander
Wu, Zhuo
Combinatorics
We asymptotically resolve the the uniform Turán density problem for the large stars. In particular, we show that the uniform Turán density of the $k$-star $S_k$ is $\frac{k^2-5k+7}{(k-1)^2}$ for $k\ge 48$, matching a lower construction by Reiher, Rödl and Schacht.
title The uniform Turán density of large stars
topic Combinatorics
url https://arxiv.org/abs/2409.03699