Jiaqi Liao

collaborators

2 papers

math.CO2026

Erdős--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice

Mengyu Cao, Jiaqi Liao, Haixiang Zhang

Let $M_{n} = M (K_{n + 1})$ be the graphic matroid of the complete graph, and let $F_{k} (M_{n})$ be its rank- $k$ flats. We study families $A \subseteq F_{k} (M_{n})$ sa…

math.CO2024

Hilton-Milner theorem for $k$ -multisets

Jiaqi Liao, Zequn Lv, Mengyu Cao +1

Let $k, n \in N^{+}$ and $m \in N^{+} \cup {\infty}$ . A $k$ -multiset in $[n]_{m}$ is a $k$ -set whose elements are integers from ${1, 2, \dots, n}$ , an…

Erdős--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice

Hilton-Milner theorem for k-multisets

Hilton-Milner theorem for $k$ -multisets