Yao Tian

activity

20222026

collaborators

6 papers

math.GR2026

A classification of regular maps with Euler characteristic $- pq$

Xiaogang Li, Yao Tian

In this paper, we give a classification of regular maps with Euler characteristic $- pq$ for distinct primes $q > p \geq 5$ . This together with previous classification of regular maps…

math.GR2026

A classification of regular maps with Euler characteristic $- p^{4}$ for a prime $p \geq 5$

Xiaogang Li, Yao Tian

A map is a cellular decomposition of a closed surface. In the framework of classifying all regular maps by their supporting surface, it is an open problem to find all closed surfac…

math.CV2023

Boundary Extensions for mappings between metric spaces

Yao-Lan Tian, Yi Xuan

In this paper, we consider boundary extensions of two classes of mappings between metric measure spaces. These two mapping classes extend in particular the well-studied geometric m…

math.CO2022

Orientably-Regular $π$ -Maps and Regular $π$ -Maps

Xiaogang Li, Yao Tian

Given a map with underlying graph $G$ , if the set of prime divisors of $∣ V (G ∣$ is denoted by $π$ , then we call the map a {\it $π$ -map}. An orientably-regular (r…

math.CO2022

Hamilton Cycles In Primitive Graphs of Order $2 r s$

Shaofei Du, Yao Tian, Hao Yu

After long term efforts, it was recently proved in \cite{DKM2} that except for the Peterson graph, every connected vertex-transitive graph of order $r s$ has a Hamilton cycle, where…

math.CO2022

Orientably-Regular $p$ -Maps and Regular $p$ -Maps

Shaofei Du, Yao Tian, Xiaogang Li

A map is called a {\it $p$ -map} if it has a prime $p$ -power vertices. An orientably-regular (resp. A regular ) $p$ -map is called {\it solvable} if the group $G^{+}$ of all orientatio…

A classification of regular maps with Euler characteristic −pq

A classification of regular maps with Euler characteristic −p4 for a prime p≥5

Boundary Extensions for mappings between metric spaces

Orientably-Regular π-Maps and Regular π-Maps

Hamilton Cycles In Primitive Graphs of Order 2rs

Orientably-Regular p-Maps and Regular p-Maps

A classification of regular maps with Euler characteristic $- pq$

A classification of regular maps with Euler characteristic $- p^{4}$ for a prime $p \geq 5$

Orientably-Regular $π$ -Maps and Regular $π$ -Maps

Hamilton Cycles In Primitive Graphs of Order $2 r s$

Orientably-Regular $p$ -Maps and Regular $p$ -Maps