Mei Lu

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3 papers · 1 filter

math.CO2023

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…

math.CO2022

Some intersection theorems for finite sets

Mengyu Cao, Mei Lu, Benjian Lv +1

Let $n$ , $r$ , $k_{1}, \dots, k_{r}$ and $t$ be positive integers with $r \geq 2$ , and $F_{i} (1 \leq i \leq r)$ a family of $k_{i}$ -subsets of an $n$ -set $V$ . The families $\mathcal…

math.CO2022

$r$ -cross $t$ -intersecting families for vector spaces

Mengyu Cao, Mei Lu, Benjian Lv +1

Let $V$ be an $n$ -dimensional vector space over the finite field $F_{q}$ , and $[k V]$ denote the family of all $k$ -dimensional subspaces of $V$ . The families $\mathcal…

Hilton-Milner theorem for k-multisets

Some intersection theorems for finite sets

r-cross t-intersecting families for vector spaces

Hilton-Milner theorem for $k$ -multisets

$r$ -cross $t$ -intersecting families for vector spaces