Jimeng Xiao

collaborators

2 papers

math.CO2026

A note on the maximum diversity of intersecting families in the symmetric group

Jian Wang, Jimeng Xiao

Let $S_{n}$ be the symmetric group on the set $[n] := {1, 2, \dots, n}$ . A family $F \subset S_{n}$ is called intersecting if for every $Ï,Ï\in \mathcal{F}…

math.CO2024

Non-uniform Cross-intersecting Families

Zhen Jia, Qing Xiang, Jimeng Xiao +1

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