Benjian Lv

collaborators

4 papers

math.CO2026

Structure of large $t$ -intersecting families I: Stability for the Hilton--Milner--Frankl theorem

Jie Wen, Benjian Lv

We study the structure of large $t$ -intersecting families. A family of $k$ -subsets of an $n$ -set is $t$ -intersecting if every two of its members intersect in at least $t$ elements.…

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

ErdÅs-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…

Structure of large t-intersecting families I: Stability for the Hilton--Milner--Frankl theorem

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

On r-cross t-intersecting families of partitions

ErdÅs-Ko-Rado theorem and Hilton-Milner type theorem for k-partitions

Structure of large $t$ -intersecting families I: Stability for the Hilton--Milner--Frankl theorem

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

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