Benjian Lv

collaborators

3 papers

math.CO2026

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability

Jie Wen, Benjian Lv

We develop a new approach to cross-intersection problems in extremal set theory. The method builds on the iterative procedure introduced by Kupavskii and Zakharov (2024) and the $t…

math.CO2026

On $r$ -cross $t$ -intersecting families of partitions

Jie Wen, Benjian Lv

In this paper, we address several intersection problems for $r$ -cross $t$ -intersecting families of partitions. A $k$ -partition of an $n$ -set $X$ is a set of $k$ pairwise disjoint n…

math.CO2025

Erdős-Ko-Rado theorem and Hilton-Milner type theorem for $k$ -partitions

Jie Wen, Benjian Lv

A $k$ -partition of an $n$ -set $X$ is a collection of $k$ pairwise disjoint non-empty subsets whose union is $X$ . A family of $k$ -partitions of $X$ is called $t$ -intersecting if any…

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability

On r-cross t-intersecting families of partitions

Erdős-Ko-Rado theorem and Hilton-Milner type theorem for k-partitions

On $r$ -cross $t$ -intersecting families of partitions

Erdős-Ko-Rado theorem and Hilton-Milner type theorem for $k$ -partitions