Largest $3$-uniform set systems with VC-dimension $2$

Fuente: arXiv
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Auteurs principaux: Wang, Jian, Xu, Zixiang, Zhang, Shengtong
Format: Preprint
Publié: 2025
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author Wang, Jian
Xu, Zixiang
Zhang, Shengtong
author_facet Wang, Jian
Xu, Zixiang
Zhang, Shengtong
contents We determine the largest size of $3$-uniform set systems on $[n]$ with VC-dimension $2$ for all $n$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07756
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Largest $3$-uniform set systems with VC-dimension $2$
Wang, Jian
Xu, Zixiang
Zhang, Shengtong
Combinatorics
05D05
We determine the largest size of $3$-uniform set systems on $[n]$ with VC-dimension $2$ for all $n$.
title Largest $3$-uniform set systems with VC-dimension $2$
topic Combinatorics
05D05
url https://arxiv.org/abs/2505.07756