Non-uniform Cross-intersecting Families

Zhen Jia, Qing Xiang, Jimeng Xiao +1

Let $m\ge 2$, $n$ be positive integers, and $R_i=\{k_{i,1}>k_{i,2}>\cdots >k_{i,t_i}\}$ be subsets of $[n]$ for $i=1,2,\dots ,m$. The families $\mathcal{F}_1\subseteq \binom{[n]…