Haoran Luo

collaborators

3 papers

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

Maximum number of points in general position in a random subset of finite $3$ -dimensional spaces

József Balogh, Haoran Luo

Let $α (F_{q}^{d}, p)$ be the maximum possible size of a point set in general position in the $p$ -random subset of $F_{q}^{d}$ . In this note, we determine the order of ma…

math.CO2024

On the thresholds of degenerate hypergraphs

Yu Chen, Jie Han, Haoran Luo

An $n$ -vertex $k$ -uniform hypergraph $G$ is $(d, α)$ -degenerate if $m_{1} (G) \leq d$ and there exists a constant $ε > 0$ such that for every subset $U \subseteq V (G)$ with siz…

Multicolor Erdős--Rogers Functions

Maximum number of points in general position in a random subset of finite 3-dimensional spaces

On the thresholds of degenerate hypergraphs

Maximum number of points in general position in a random subset of finite $3$ -dimensional spaces