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math.CO2022
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^…
math.CO2022
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…
math.CO2022
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…