On Edge-Primitive $2$-Arc-Transitive (Bi-)Cayley Graphs

A graph is called edge-primitive if its full automorphism group acts primitively on its edge set. In this paper, we give a complete classification of all types of finite edge-primitive $2$-arc-transitive Cayley graphs and bi-Cayley graphs.

Authors

Institutions

Publication Details

Journal
The Electronic Journal of Combinatorics
Published
2026-11-06
DOI
https://doi.org/10.37236/15130
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
article

On Edge-Primitive $2$-Arc-Transitive (Bi-)Cayley Graphs

Jing Jian Li, Hao Nan Chen, Hao Yu, Ji Cheng Ma
1 links
The Electronic Journal of Combinatorics
Finite Group Theory Research
article

On Edge-Primitive $2$-Arc-Transitive (Bi-)Cayley Graphs

Jing Jian Li, Hao Nan Chen, Hao Yu, Ji Cheng Ma
article en

Abstract

A graph is called edge-primitive if its full automorphism group acts primitively on its edge set. In this paper, we give a complete classification of all types of finite edge-primitive $2$-arc-transitive Cayley graphs and bi-Cayley graphs.

The Electronic Journal of CombinatoricsVol. 33(4)
Guangxi University (CN), Chongqing University of Arts and Sciences (CN)
National Science Foundation, National Natural Science Foundation of China
Openalex Percentile: Top 24%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon