Junzhi Huang

collaborators

4 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 $I^$ , a path $(u_{0}, u_{1}, \dots, u_{s})$ composed of vertices of $I^$ is called an {\em $s$ -geodesic} if it is a shortest path between $u_{0}$ and…

math.CO2025

Finite $s$ -geodesic transitive graphs under certain girths

Jun-Jie Huang

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

math.CO2025

Geodesic transitive graphs of small valency

Jun-Jie Huang

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

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

On distance transitive graphs and 4-geodesic transitive graphs

Finite s-geodesic transitive graphs under certain girths

Geodesic transitive graphs of small valency

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

Finite $s$ -geodesic transitive graphs under certain girths