Huye Chen

activity

20202026

most citedOn the Burness-Giudici Conjecture

3 citations · 3 across the 7 of their papers we have counts for

collaborators

9 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.GR2025

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 $Ω$ containing two points $α, β$ such that $G_{α} \cap G_{β} = 1$ . The Saxl graph $Σ (G)$ of $(G, Ω)$ is defined as the graph with vertex set $…

math.GR2025

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 $Ω$ , and suppose $G_{α} \cap G_{β} = 1$ for some distinct $α, β \in Ω$ . The Saxl graph $Σ (G)$ of $(G, Ω)$ is defined as the graph with ver…

math.GR2025

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 $Ω$ with two points $α, β \in Ω$ such that $G_{α} \cap G_{β} = 1$ . The Saxl graph $Σ (G)$ of the pair $(G, Ω)$ is the graph with vertex set $Ω$ , w…

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…

math.CO2020★ 3 cited

On the Burness-Giudici Conjecture

Huye Chen, Shaofei Du

Let $G$ be a permutation group on a set $Ω$ . A subset of $Ω$ is a base for $G$ if its pointwise stabilizer in $G$ is trivial. By $b (G)$ we denote the size of the smallest base of $…

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 Ree(q) and Sz(q)

The Burness-Giudici Conjecture on Primitive Groups with Socle PSU(3,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 In Vertex-Transitive Graphs of Order 10p

Second largest maximal cliques in small Paley graphs of square order

On the Burness-Giudici Conjecture

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