Zhaochen Ding

collaborators

4 papers

math.CO2026

A classification of rotary embeddings of multicycles

Zhaochen Ding, Zheng Guo, Luyi Liu

We classify rotary (orientably-regular) maps whose underlying graphs are multicycles. For the multicycle $C_{n}^{(I^»)}$ of length $n$ and edge-multiplicity $I^»$ , we determin…

math.GR2025

Some new compatible groups

Zhaochen Ding, Gabriel Verret

Two finite groups $L_{1}$ and $L_{2}$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_{1}$ and $N_{2}$ such that $L_{1} ≅ G / N_{1}$ and $L_{2} ≅ G / N_{2}$ …

math.CO2025

Embedding a Praeger-Xu graph into a surface

Zhaochen Ding, Zheng Guo, Luyi Liu

Rotary maps (orientably regular maps) are highly symmetric graph embeddings on orientable surfaces. This paper classifies all rotary maps whose underlying graphs are Praeger-Xu gra…

math.GR2025

Some necessary conditions for compatibility of groups

Zhaochen Ding, Gabriel Verret

Two groups $L_{1}$ and $L_{2}$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_{1}$ and $N_{2}$ such that $L_{1} ≅ G / N_{1}$ and $L_{2} ≅ G / N_{2}$ . In th…