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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…
Subgroup Perfect Codes of -Groups and Their Applications
Huye chen, Binbin Li, Jingjian Li +1
A subset of the vertex set of a graph is called a perfect code in if every vertex of is at distance no more than 1 to exactly one vertex of . A subgroup of a…
Hamilton Cycles In Vertex-Transitive Graphs of Order 10p
Huye Chen, Jingjian Li, Hao Yu
After long-term efforts, the Hamilton path (cycle) problem for connected vertex-transitive graphs of order (where and are primes) was finally resolved in 2021, see [10…
A Note on Subgroup Perfect Codes in Cayley Graphs
Li Jingjian, Li Binbin, Liu Xianglin
In this paper, we give a necessary and sufficient condition for a subgroup to be a perfect code for finite groups. As an application, we determine all subgroup perfect codes of ext…
Bounding for vertex-primitive -arc-transitive digraphs of alternating and symmetric groups
Junyan Chen, Lei Chen, Michael Giudici +3
Determining an upper bound on for finite vertex-primitive -arc-transitive digraphs has received considerable attention dating back to a question of Praeger in 1990. It was s…