Hanlin Zou

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20242026

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4 papers · 1 filter

math.CO2026

On the maximum size of $(a, b)$ -town (mod $k$ ) families

Hanlin Zou

For integers $n \geq k \geq 2$ and $0 \leq a, b \leq k - 1$ , let $m_{k, n} (a, b)$ denote the maximum size of an $(a, b)$ -town (mod $k$ ) family of an $n$ -element set, a collection of subs…

math.CO2026

2-Geodesic-transitive graphs of order twice a prime power

Jiangmin Pan, Cixuan Wu, Yingnan Zhang +1

In this paper, we study 2-geodesic-transitive graphs of order twice an odd prime power. Classifications of corresponding basic graphs and such graphs with almost simple automorphis…

math.CO2025

The complete classification of triply-transitive strongly regular graphs

Weicong Li, Hanlin Zou

This paper completes the classification of triply-transitive strongly regular graphs, a program recently initiated by Herman, Maleki, and Razafimahatratra. By proving that the coll…

math.CO2024

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle $PSU (3, q)$ , $q \geq 3$

Jianbing Lu, Yingnan Zhang, Hanlin Zou

A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism gro…

On the maximum size of (a,b)-town (mod k) families

2-Geodesic-transitive graphs of order twice a prime power

The complete classification of triply-transitive strongly regular graphs

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle PSU(3,q), q≥3

On the maximum size of $(a, b)$ -town (mod $k$ ) families

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle $PSU (3, q)$ , $q \geq 3$