Guiying Yan

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20242026

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5 papers · 1 filter

math.CO2026

The induced- $P_{4}$ -free process

Hongyi Lou, Xinzhe Song, Guiying Yan

We study the random induced- $P_{4}$ -free graph process. Let $e_{1}, \dots, e_{N}$ , where $N = (2 n)$ , be a uniformly random ordering of the edges of $K_{n}$ . Starting from the empty gr…

math.CO2026

An Erdős-Ko-Rado result for some principal series representations

Jiaqi Liao, Guiying Yan

Let $V$ be an irreducible principal series representation of $GL_{2} (q)$ satisfying certain conditions. Two subsets $S_{1}, S_{2} \subseteq GL_{2} (q)$ are called cross-$t…

math.CO2025

Planar Turán number of disjoint union of $C_{3}$ and $C_{5}$

Luyi Li, Ping Li, Guiying Yan +1

The planar Turán number of $H$ , denoted by $e x_{P} (n, H)$ , is the maximum number of edges in an $n$ -vertex $H$ -free planar graph. The planar Turán number of $k \geq 3$ vert…

math.CO2024

Planar Turán number of two adjacent cycles

Xinzhe Song, Guiying Yan, Qiang Zhou

The planar Turán number of $H$ , denoted by $e x_{P} (n, H)$ , is the maximum number of edges in an $n$ -vertex $H$ -free planar graph. The planar Turán number of $k (k \geq 3)$ v…

math.CO2024

Anti-Ramsey numbers of loose paths and cycles in uniform hypergraphs

Tong Li, Yucong Tang, Guanghui Wang +1

For a fixed family of $r$ -uniform hypergraphs $F$ , the anti-Ramsey number of $F$ , denoted by $a r (n, r, F)$ , is the minimum number $c$ of colors such th…

The induced-P4​-free process

An Erdős-Ko-Rado result for some principal series representations

Planar Turán number of disjoint union of C3​ and C5​

Planar Turán number of two adjacent cycles

Anti-Ramsey numbers of loose paths and cycles in uniform hypergraphs

The induced- $P_{4}$ -free process

Planar Turán number of disjoint union of $C_{3}$ and $C_{5}$