3 citations · 3 across the 8 of their papers we have counts for
9 papers
Characterizing Finite Groups via Subgroup Perfect Codes
Binbin Li, Jingjian Li, Wei Meng +1
A perfect code in a graph is a subset of such that no two vertices in are adjacent and every vertex in is adjacent to exactly one vertex in…
Isomorphism factorizations of the complete graph into Cayley graphs on CI-groups
Huye Chen, Jingjian Li, Hao Yu +1
Isomorphic factorizations of complete graphs originate from the seminal work of Frank Harary and collaborators, who initiated the systematic study of decompositions of complete gra…
On Hamilton paths in vertex-transitive graphs of order
Shaofei Du, Wenjuan Luo, Hao Yu
It was shown by Kutnar, Maru\v si\v c and Zhang in 2012 that every connected vertex-transitive graph of order , where is a prime and , contains a Hamilton path, ex…
Skew Product Groups for 2-Groups of Maximal Class
Wenjuan Luo, Hao Yu
Skew morphisms, which generalise automorphisms for groups, provide a fundamental tool for the study of regular Cayley maps and, more generally, for finite groups with a complementa…
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…
Gaps between consecutive eigenvalues for compact metric graphs
David Borthwick, Evans M. Harrell, Haozhe Yu
On a compact metric graph, we consider the spectrum of the Laplacian defined with a mix of standard and Dirichlet vertex conditions. A Cheeger-type lower bound on the gap $λ_2 - λ_…
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…