Jingnan Xie

collaborators

3 papers

math.CO2025

Isomorphisms of bi-Cayley graphs on generalized quaternion groups

Jin-Hua Xie, Zhishuo Zhang

Let $G$ be a finite group and $S$ be a subset of $G$ . The bi-Cayley graph $BCay (G, S)$ is the graph with vertex set $G \times {0, 1}$ and edge set $\{\{(x,0),(sx,1)\}\mid x…

math.CO2024

On Isomorphisms of Tetravalent Cayley Digraphs over Dihedral Groups

Jin-Hua Xie, Zai Ping Lu, Yan-Quan Feng

Let $m$ be a positive integer. A group $G$ is said to be an $m$ -DCI-group or an $m$ -CI-group if $G$ has the $k$ -DCI property or $k$ -CI property for all positive integers $k$ at mos…

math.CO2024

Generalized quaternion groups with the m-DCI property

Jin-Hua Xie, Yan-Quan Feng, Binzhou Xia

A Cayley digraph Cay(G,S) of a finite group $G$ with respect to a subset $S$ of $G$ is said to be a CI-digraph if for every Cayley digraph Cay(G,T) isomorphic to Cay(G,S), there ex…