Minghui Ouyang

activity

20232026

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5 papers · 1 filter

math.CO2025

On Relative Ordered Turán Density

Dylan King, Bernard Lidický, Minghui Ouyang +3

For an ordered graph $F$ , denote the Turán density by $π (F)$ . The relative Turán density, denoted by $ρ (F)$ , is the supremum over $α \in [0, 1]$ such that every ordered graph $G$ …

math.CO2025

Multicolor Erdős--Rogers Functions

Hong Liu, Haoran Luo, Minghui Ouyang

In this paper, we study a multicolor variant of Erdős--Rogers functions. Let $f_{α_{s}; K_{i_{1}}, \dots, K_{i_{t}}} (n)$ be the largest integer $m$ such that there is always an induced…

math.CO2025

Property O and Erdős--Szekeres properties in linear hypergraphs

Suyun Jiang, Ander Lamaison, Minghui Ouyang

An oriented $k$ -uniform hypergraph, or oriented $k$ -graph, is said to satisfy Property O if, for every linear ordering of its vertex set, there is some edge oriented consistently w…

math.CO2025

Set families: restricted distances via restricted intersections

Zichao Dong, Jun Gao, Hong Liu +2

Denote by $f_{D} (n)$ the maximum size of a set family $F$ on $[n] = {1, \dots, n}$ with distance set $D$ . That is, $∣ A △ B ∣ \in D$ holds for every pair of di…

math.CO2025

On restricted sumsets with bounded degree relations

Minghui Ouyang

Given two subsets $A, B \subseteq F_{p}$ and a binary relation $R \subseteq A \times B$ , the restricted sumset of $A, B$ with respect to $R$ is defined a…