Jiuqiang Liu

collaborators

3 papers

math.CO2025

Maximal intersecting families revisited

Yongjiang Wu, Yongtao Li, Lihua Feng +2

The well-known ErdÅs--Ko--Rado theorem states that for $n > 2 k$ , every intersecting family of $k$ -sets of $[n] := {1, \dots, n}$ has at most $(k - 1 n - 1)$ sets, and the extr…

math.CO2025

Stabilities of the Kleitman diameter theorem

Yongjiang Wu, Yongtao Li, Lihua Feng +2

Let $F$ be a family of subsets of $[n]$ . The diameter of $F$ is the maximum size of symmetric differences among pairs of its members. Resolving a conjecture of…

math.CO2024

$L$ -intersecting or Configuration Forbidden Families on Set Systems and Vector Spaces over Finite Fields

Jiuqiang Liu, Guihai Yu, Lihua Feng +1

In this paper, we derive a tight upper bound for the size of an intersecting $k$ -Sperner family of subspaces of the $n$ -dimensional vector space $F_{q}^{n}$ over finite fi…

Maximal intersecting families revisited

Stabilities of the Kleitman diameter theorem

L-intersecting or Configuration Forbidden Families on Set Systems and Vector Spaces over Finite Fields

$L$ -intersecting or Configuration Forbidden Families on Set Systems and Vector Spaces over Finite Fields