Mingze Li

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20242026

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4 papers · 1 filter

math.CO2026

Two problems of Burr, Erd\H os, Graham, and SÃ³s on maximal anti-Ramsey functions for $P_{4}$

Mingze Li, Bo Ning, Tianying Xie

Burr, Erd\H os, Graham, and SÃ³s introduced the maximal anti-Ramsey function $I ¨ _{S} (n, e, L)$ , the minimum number of colors required over all $n$ -vertex graphs with at leas…

math.CO2026

An improved double-exponential lower bound for $r_{4} (5, n)$

Chunchao Fan, Mingze Li, Qizhong Lin +1

The Ramsey number $r_{k} (s, n)$ is the smallest integer $N$ such that every $N$ -vertex $k$ -graph contains either a copy of $K_{s}^{(k)}$ or an independent set of size $n$ . A well-known…

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…

math.CO2024

Exact results on traces of sets

Mingze Li, Jie Ma, Mingyuan Rong

For non-negative integers $n$ , $m$ , $a$ and $b$ , we write $(n, m) \to (a, b)$ if for every family $F \subseteq 2^{[n]}$ with $|\mathcal{F}|…

Two problems of Burr, Erd\H os, Graham, and SÃ³s on maximal anti-Ramsey functions for P4​

An improved double-exponential lower bound for r4​(5,n)

Recent advances in arrow relations and traces of sets

Exact results on traces of sets

Two problems of Burr, Erd\H os, Graham, and SÃ³s on maximal anti-Ramsey functions for $P_{4}$

An improved double-exponential lower bound for $r_{4} (5, n)$