Junzhi Huang

activity

20212026

collaborators

8 papers

math.GR2026

On arc-transitive inner-automorphic Cayley graphs on dihedral groups

Jun-Jie Huang, Jin-Hua Xie

A Cayley graph $\Cay(G,S)$ is said to be inner-automorphic if $S$ is a union of conjugacy classes of a group $G$ , and arc-transitive if its full automorphism group acts transitivel…

math.CO2025

On distance transitive graphs and $4$ -geodesic transitive graphs

Jun-Jie Huang

For an integer $s \geq 1$ and a graph $Γ$ , a path $(u_{0}, u_{1}, \dots, u_{s})$ composed of vertices of $Γ$ is called an {\em $s$ -geodesic} if it is a shortest path between $u_{0}$ and $…

math.CO2025

Geodesic transitive graphs of small valency

Jun-Jie Huang

For a graph $Γ$ , the {\em distance} $d_{Γ} (u, v)$ between two distinct vertices $u$ and $v$ in $Γ$ is defined as the length of the shortest path from $u$ to $v$ , and the {\em diameter…

math.CO2025

Finite $s$ -geodesic transitive graphs under certain girths

Jun-Jie Huang

For an integer $s \geq 1$ and a graph $Γ$ , a path $(u_{0}, u_{1}, \dots, u_{s})$ of vertices of $Γ$ is called an {\em $s$ -geodesic} if it is a shortest path from $u_{0}$ to $u_{s}$ . We sa…

math.CO2024

The classification of two-distance transitive dihedrants

Jun-Jie Huang, Yan-Quan Feng, Jin-Xin Zhou +1

A vertex transitive graph $Γ$ is said to be $2$ -distance transitive if for each vertex $u$ , the group of automorphisms of $Γ$ fixing the vertex $u$ acts transitively on the set of…

math.CO2022

Two-geodesic transitive graphs of order $p^{n}$ with $n \leq 3$

Jun-Jie Huang, Yan-Quan Feng, Jin-Xin Zhou +1

A vertex triple $(u, v, w)$ of a graph is called a $2$ -geodesic if $v$ is adjacent to both $u$ and $w$ and $u$ is not adjacent to $w$ . A graph is said to be $2$ -geodesic transitive i…

math.GT2021

Finite rigid sets and the separating curve complex

Junzhi Huang, Bena Tshishiku

For each closed surface of genus $g \geq 3$ , we find a finite subcomplex of the separating curve complex that is rigid with respect to incidence-preserving maps.

math.CO2021

Two-distance transitive normal Cayley graphs

Jun-Jie Huang, Yan-Quan Feng, Jin-Xin Zhou

In this paper, we construct an infinite family of normal Cayley graphs, which are $2$ -distance-transitive but neither distance-transitive nor $2$ -arc-transitive. This answers a que…

On arc-transitive inner-automorphic Cayley graphs on dihedral groups

On distance transitive graphs and 4-geodesic transitive graphs

Geodesic transitive graphs of small valency

Finite s-geodesic transitive graphs under certain girths

The classification of two-distance transitive dihedrants

Two-geodesic transitive graphs of order pn with n≤3

Finite rigid sets and the separating curve complex

Two-distance transitive normal Cayley graphs

On distance transitive graphs and $4$ -geodesic transitive graphs

Finite $s$ -geodesic transitive graphs under certain girths

Two-geodesic transitive graphs of order $p^{n}$ with $n \leq 3$