Jingnan Xie

activity

20212024

most citedNormal Cayley digraphs of cyclic groups with CI-property

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2024

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.CO2023

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…

math.CO2022

Dihedral groups with the $m$ -DCI property

Jin-Hua Xie, Yan-Quan Feng, Young Soo Kwon

A Cayley digraph $Cay (G, S)$ of a group $G$ with respect to a subset $S$ of $G$ is called a CI-digraph if for any Cayley digraph $Cay (G, T)$ isomorphic to $Cay (G, S)$ ,…

math.CO2021

Normal Cayley digraphs of dihedral groups with CI-property

Jin-Hua Xie, Yan-Quan Feng, Jin-Xin Zhou

A Cayley (di)graph $C a y (G, S)$ of a group $G$ with respect to $S$ is said to be normal if the right regular representation of $G$ is normal in the automorphism group of $C a y (G, S)$ ,…

math.CO2021★ 1 cited

Normal Cayley digraphs of cyclic groups with CI-property

Jin-Hua Xie, Yan-Quan Feng, Grigory Ryabov +1

A Cayley (di)graph $C a y (G, S)$ of a group $G$ with respect to a subset $S$ of $G$ is called normal if the right regular representation of $G$ is a normal subgroup in the full automo…