Huye Chen

activity

20242026

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5 papers · 1 filter

math.CO2026

Hamilton cycles of semisymmetric graphs of order $2 p^{3}$

Huye Chen

In light of Lovász's longstanding question on the existence of Hamilton paths in vertex-transitive graphs, Du and Yuan considered a natural variant: what if vertex-transitivity is…

math.CO2026

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…

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 $I^$ is called a perfect code in $I^$ if every vertex of $I^$ is at distance no more than 1 to exactly one vertex of $C$ . A subgroup $H$ o…

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 $\frac{q + I ^ µ}{2}$ , where $q \equiv I^µ (mod 4)$ , and split into two or…