A note on the Erdős Matching Conjecture

Ryan R. Martin, Balázs Patkós

The Erd\H os Matching Conjecture states that the maximum size $f(n,k,s)$ of a family $\mathcal{F}\subseteq \left(\genfrac{}{}{0ex}{}{[n]}{k}\right)$ that does not contain $s$ pairwise disjoint sets is $\max…