Huye Chen

collaborators

3 papers

math.CO2025

Subgroup Perfect Codes of $A_{t}$ -Groups and Their Applications

Huye chen, Binbin Li, Jingjian Li +1

A subset $C$ of the vertex set of a graph $Γ$ is called a perfect code in $Γ$ if every vertex of $Γ$ is at distance no more than 1 to exactly one vertex of $C$ . A subgroup $H$ 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 $pq$ (where $p$ and $q$ are primes) was finally resolved in 2021, see [10…

math.CO2024

Second largest maximal cliques in small Paley graphs of square order

Huye Chen, Sergey Goryainov, Cong Hu

There is a conjecture that the second largest maximal cliques in Paley graphs of square order $P (q^{2})$ have size $\frac{q + ε}{2}$ , where $q \equiv ε (mod 4)$ , and split into two orbi…

Subgroup Perfect Codes of At​-Groups and Their Applications

Hamilton Cycles In Vertex-Transitive Graphs of Order 10p

Second largest maximal cliques in small Paley graphs of square order

Subgroup Perfect Codes of $A_{t}$ -Groups and Their Applications