Mingyuan Rong

collaborators

3 papers

math.CO2026

Rational codegree Turán density of hypergraphs

Jun Gao, Oleg Pikhurko, Mingyuan Rong +1

Let $H$ be a $k$ -graph (i.e. a $k$ -uniform hypergraph). Its minimum codegree $δ_{k - 1} (H)$ is the largest integer $t$ such that every $(k - 1)$ -subset of $V (H)$ is contained in at lea…

math.CO2025

The codegree Turán density of tight cycles

Jie Ma, Mingyuan Rong

The codegree Turán density $γ (F)$ of a $k$ -uniform hypergraph $F$ is the minimum real number $γ \geq 0$ such that every $k$ -uniform hypergraph on sufficiently many $n$ vertices, in w…

math.CO2025

Recent advances in arrow relations and traces of sets

Mingze Li, Jie Ma, Mingyuan Rong

The arrow relation, a central concept in extremal set theory, captures quantitative relationships between families of sets and their traces. Formally, the arrow relation $(n, m) \r…