A generalization of diversity for intersecting families

Van Magnan, Cory Palmer, Ryan Wood

Let $\mathcal{F}\subseteq \left(\genfrac{}{}{0ex}{}{[n]}{r}\right)$ be an intersecting family of sets and let $\Delta (\mathcal{F})$ be the maximum degree in $\mathcal{F}$, i.e., the maximum number of edges of $\…