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math.CO2025
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…
math.CO2025
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…
math.CO2025
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…