Jiuqiang Liu

collaborators

3 papers

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…

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

$L$ -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