A Common Generalization of the Theorems of Erdős-Ko-Rado and Hilton-Milner

Wei-Tian Li, Bor-Liang Chen, Kuo-Ching Huang +1

Let $m$, $n$, and $k$ be integers satisfying $0<k\le n<2k\le m$. A family of sets $\mathcal{F}$ is called an $(m,n,k)$-intersecting family if $\binom{[n]}{k} \subseteq \mat…