Shao-Fei Du

activity

20112023

most citedThe Product of a Generalized Quaternion Group And a Cyclic Group

3 citations · 11 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.CO2022

Regular Cayley Maps of Elementary abelian $p$ -groups: Classification and Enumeration

Shaofei Du, Hao Yu, Wenjuan Luo

Recently, regular Cayley maps of cyclic groups and dihedral groups have been classified. A nature question is to classify regular Cayley maps of elementary abelian $p$ -groups $Z_p^…

math.CO2022

Skew-Morphisms of Elementary Abelian p-Groups

Shaofei Du, Wenjuan Luo, Hao Yu +1

A skew-morphism of a finite group $G$ is a permutation $σ$ on $G$ fixing the identity element, and for which there exists an integer function $π$ on $G$ such that $σ(xy)=σ(x)σ^{π(x…

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…

Regular Cayley Maps of Elementary abelian p-groups: Classification and Enumeration

Skew-Morphisms of Elementary Abelian p-Groups

Hamilton Cycles In Primitive Graphs of Order 2rs

Orientably-Regular p-Maps and Regular p-Maps

Regular Cayley Maps of Elementary abelian $p$ -groups: Classification and Enumeration

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

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