Hongliang Lu

activity

20232026

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3 papers · 1 filter

math.CO2024

Matching stability for 3-partite 3-uniform hypergraphs

Hongliang Lu, Xinxin Ma

Let $n, k, s$ be three integers such that $k \geq 2$ and $n \geq s \geq 1$ . Let $H$ be a $k$ -partite $k$ -uniform hypergraph with $n$ vertices in each class. Aharoni (2017) showed that i…

math.CO2024

Discrepancies of perfect matchings in hypergraphs

Hongliang Lu, Jie Ma, Shengjie Xie

In this paper, we determine the minimum degree threshold of perfect matchings with high discrepancy in $r$ -edge-colored $k$ -uniform hypergraphs for all $k \geq 3$ and $r \geq 2$ , the…

math.CO2024

A characterization on $(g, f)$ -parity orientations

Hongliang Lu, Xinxin Ma

Let $G$ be a graph and $g, f : V (G) \to 2^{N}$ be two set functions such that $g (v) \leq f (v)$ and $g (v) \equiv f (v) (mod 2)$ for every $v \in V (G)$ . An orientation $O$ of $G$ is called a $(g,…

Matching stability for 3-partite 3-uniform hypergraphs

Discrepancies of perfect matchings in hypergraphs

A characterization on (g,f)-parity orientations

A characterization on $(g, f)$ -parity orientations