Largest Sperner families with bounded VC-dimension

Gennian Ge, Hanyu Wang, Zixiang Xu +1

A conjecture of Frankl proposed in the 1980s states that for $n\ge 2d$, every Sperner family $\mathcal{F}\subseteq 2^{[n]}$ of VC-dimension at most $d$ has at most $\left(\genfrac{}{}{0ex}{}{n}{d}\right)$ me…