Shao-Fei Du

collaborators

4 papers

math.CO2026

Hamilton Cycles in Semisymmetric Graphs

Shaofei Du, Kai Yuan

In light of LovÃ¡sz's longstanding question on the existence of Hamilton paths in vertex-transitive graphs, this paper considers a natural variant: what if vertex-transitivity is r…

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…

Hamilton Cycles in Semisymmetric Graphs

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)

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