Jiuqiang Liu

most citedFamilies of Sets with Intersecting Clusters

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2024

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

Maximal intersecting families revisited

Yongjiang Wu, Yongtao Li, Lihua Feng +2

The well-known Erdős--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 extre…

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…

math.CO2024

A Relationship for LYM Inequalities between Boolean Lattices and Linear Lattices with Applications

Jiuqiang Liu, Guihai Yu

Sperner theory is one of the most important branches in extremal set theory. It has many applications in the field of operation research, computer science, hypergraph theory and so…

math.CO2024

Snevily's Conjecture about $L$ -intersecting Families on Set Systems and its Analogue on Vector Spaces

Jiuqiang Liu, Guihai Yu, Lihua Feng +1

The classical Erdős-Ko-Rado theorem on the size of an intersecting family of $k$ -subsets of the set $[n] = {1, 2, \dots, n}$ is one of the fundamental intersection theorems for s…

math.CO2006★ 1 cited

Families of Sets with Intersecting Clusters

William Y. C. Chen, Jiuqiang Liu, Larry X. W. Wang

A family of $k$ -subsets $A_{1}, A_{2}, ..., A_{d}$ on $[n] = {1, 2, ..., n}$ is called a $(d, c)$ -cluster if the union $A_{1} \cup A_{2} \cup ... \cup A_{d}$ contains at most $c k$ elements with $…

Stabilities of the Kleitman diameter theorem

Maximal intersecting families revisited

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

A Relationship for LYM Inequalities between Boolean Lattices and Linear Lattices with Applications

Snevily's Conjecture about L-intersecting Families on Set Systems and its Analogue on Vector Spaces

Families of Sets with Intersecting Clusters

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

Snevily's Conjecture about $L$ -intersecting Families on Set Systems and its Analogue on Vector Spaces