Hongliang Lu

activity

20242026

collaborators

6 papers

math.CO2026

Perfect matching in 4-partite 4-uniform hypergraphs

Hongliang Lu, Yan Wang, Feihong Yuan

A balanced $k$ -partite $k$ -graph is a $k$ -uniform hypergraph such that every edge intersects each partition class in exactly one vertex, where each partition class has size $n$ . Lo…

math.CO2026

On the codegree threshold for Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs

Hongliang Lu, Feihong Yuan

In this note, we resolve the remaining open case of a conjecture by Han and Zhao concerning the codegree threshold for Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs. Specifical…

math.CO2026

A local spectral condition for perfect matchings in 3-graphs

Huiqiu Lin, Hongliang Lu, Feihong Yuan +1

Let $I^^{3}$ be a constant such that $0 < I^^{3} < 1$ , and let $n$ be a sufficiently large integer. Consider a $3$ -uniform hypergraph $H$ on $n$ vertices. In 2013, KÃ¼hn, Osthus, and Treglo…

math.CO2026

Stability for the Anti-Ramsey Number of Matchings

Xuechun Zhang, Hongliang Lu

Let $n, r, s$ be three positive integers such that $n \geq 2 s + 5$ . Let $K_{r}$ denote the complete graph of order $r$ . Given a graph $F$ , the anti-Ramsey number $a r (n, F)$ is defined as…

math.CO2025

Rainbow perfect matchings in 3-partite 3-uniform hypergraphs

Hongliang Lu, Yan Wang

Let $m, n, r, s$ be nonnegative integers such that $n \geq m = 3 r + s$ and $1 \leq s \leq 3$ . Let \[Î´(n,r,s)=\left\{\begin{array}{ll} n^2-(n-r)^2 &\text{if}\ s=1 , \\[5pt] n^2-(n-r+1)(n-r-1)…

math.CO2024

Anti-Ramsey Number of Friendship Graphs

Wenke Liu, Hongliang Lu, Xinyue Luo

An edge-colored graph is called \textit{rainbow graph} if all the colors on its edges are distinct. For a given positive integer $n$ and a family of graphs $G$ , the anti-…

Perfect matching in 4-partite 4-uniform hypergraphs

On the codegree threshold for Hamilton ℓ-cycles in k-uniform hypergraphs

A local spectral condition for perfect matchings in 3-graphs

Stability for the Anti-Ramsey Number of Matchings

Rainbow perfect matchings in 3-partite 3-uniform hypergraphs

Anti-Ramsey Number of Friendship Graphs

On the codegree threshold for Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs