3 citations · 11 across the 12 of their papers we have counts for
12 papers
The Product of a Generalized Quaternion Group And a Cyclic Group
Shaofei Du, Hao Yu, Wenjuan Luo
Let be a group, where is a generalized quaternion group and is a cyclic group such that . In this paper, will be characterized and moreover, a c…
Regular Cayley Maps of Elementary abelian -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 -groups $Z_p^…
Skew-Morphisms of Elementary Abelian p-Groups
Shaofei Du, Wenjuan Luo, Hao Yu +1
A skew-morphism of a finite group is a permutation on fixing the identity element, and for which there exists an integer function on such that $σ(xy)=σ(x)σ^{π(x…
Hamilton Cycles In Primitive Graphs of Order
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 has a Hamilton cycle, where…
Orientably-Regular -Maps and Regular -Maps
Shaofei Du, Yao Tian, Xiaogang Li
A map is called a {\it -map} if it has a prime -power vertices. An orientably-regular (resp. A regular ) -map is called {\it solvable} if the group of all orientatio…
On the Burness-Giudici Conjecture
Huye Chen, Shaofei Du
Let be a permutation group on a set . A subset of is a base for if its pointwise stabilizer in is trivial. By we denote the size of the smallest base of $…
Skew-morphisms of nonabelian characteristically simple groups
Jiyong Chen, Shaofei Du, Cai Heng Li
A skew-morphism of a finite group is a permutation $\s$ on fixing the identity element, and for which there exists an integer function on such that $\s(xy)=\s(x)\s^…
Hamilton cycles in vertex-transitive graphs of order a product of two primes
Shaofei Du, Klavdija Kutnar, Dragan Marusic
A step forward is made in a long standing Lovász's problem regarding hamiltonicity of vertex-transitive graphs by showing that every connected vertex-transitive graph of order a pr…
2-walk-regular dihedrants from group-divisible designs
Zhi Qiao, Shao Fei Du, Jack H. Koolen
In this note, we construct bipartite 2-walk-regular graphs with exactly 6 distinct eigenvalues as incidence graphs of group-divisible designs with the dual property. For many of th…
Semisymmetric graphs of order
Li Wang, Shaofei Du
A simple undirected graph is said to be {\em semisymmetric} if it is regular and edge-transitive but not vertex-transitive. Every semisymmetric graph is a bipartite graph with two…
A Classification of Orientable Regular Embeddings of Complete Multipartite Graphs
Shaofei Du, Junyang Zhang
Let be the complete multipartite graph with parts, while each part contains vertices. The orientably-regular embeddings of complete graphs have been d…
2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphs
Shaofei Du, Gareth Jones, Jin Ho Kwak +2
We classify those 2-groups G which factorise as a product of two disjoint cyclic subgroups A and B, transposed by an automorphism of order 2. The case where G is metacyclic having…