English

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

Combinatorics 2025-05-13 v1

Abstract

We determine the largest size of 33-uniform set systems on [n][n] with VC-dimension 22 for all nn.

Cite

@article{arxiv.2505.07756,
  title  = {Largest $3$-uniform set systems with VC-dimension $2$},
  author = {Jian Wang and Zixiang Xu and Shengtong Zhang},
  journal= {arXiv preprint arXiv:2505.07756},
  year   = {2025}
}

Comments

24 pages

R2 v1 2026-06-28T23:29:54.361Z