Huye Chen

collaborators

7 papers

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.GR2026

The Burness-Giudici Conjecture on Primitive Groups with Socle PSU(3,q)

Huye Chen, Shaofei Du, Weicong Li

Let $G$ be a transitive permutation group on a set $I^c ◯$ , and suppose $G_{I^} \pm \cap G_{I^}^{2} = 1$ for some distinct $I^\pm, I^^{2} \in I^c ◯$ . The Saxl graph $I^£ (G)$ of $(G, I^c ◯)$ is defined as the graph…

math.GR2026

The Burness-Giudici Conjecture on Primitive Groups with Socle $R ee (q)$ and $S z (q)$

Huye Chen, Shaofei Du

Let $G$ be a transitive permutation group on $I^c ◯$ containing two points $I^\pm, I^^{2}$ such that $G_{I^} \pm \cap G_{I^}^{2} = 1$ . The Saxl graph $I^£ (G)$ of $(G, I^c ◯)$ is defined as the graph with verte…

math.GR2026

The Burness-Giudici Conjecture on Some Primitive Groups with Socle PSU(3,q)

Huye Chen, Shaofei Du, Weicong Li

Let $G$ be a transitive permutation group on $I^c ◯$ with two points $I^\pm, I^^{2} \in I^c ◯$ such that $G_{I^} \pm \cap G_{I^}^{2} = 1$ . The Saxl graph $I^£ (G)$ of the pair $(G, I^c ◯)$ is the graph with vertex se…

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…

Hamilton cycles of semisymmetric graphs of order 2p3

Isomorphism factorizations of the complete graph into Cayley graphs on CI-groups

The Burness-Giudici Conjecture on Primitive Groups with Socle PSU(3,q)

The Burness-Giudici Conjecture on Primitive Groups with Socle Ree(q) and Sz(q)

The Burness-Giudici Conjecture on Some Primitive Groups with Socle PSU(3,q)

Subgroup Perfect Codes of At​-Groups and Their Applications

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

The Burness-Giudici Conjecture on Primitive Groups with Socle $R ee (q)$ and $S z (q)$

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