On the $C$-diversity of intersecting hypergraphs

Peter Frankl, Jian Wang

Let $\mathcal{F}\subset \left(\genfrac{}{}{0ex}{}{X}{k}\right)$ be a family consisting of $k$-subsets of the $n$-set $X$. Suppose that $\mathcal{F}$ is intersecting, i.e., $F\cap F^{\prime }\ne \varnothing$ for all $…