2 citations · 3 across the 5 of their papers we have counts for
6 papers
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^…
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…
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…