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

  • Hao Nan Chen
  • Jing Jian Li
  • Ji Cheng Ma
  • Hao Yu

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.

Published
2026-11-06
How to Cite
Chen, H. N., Li, J. J., Ma, J. C., & Yu, H. (2026). On Edge-Primitive $2$-Arc-Transitive (Bi-)Cayley Graphs. The Electronic Journal of Combinatorics, 33(4), #P4.28. https://doi.org/10.37236/15130
Article Number
P4.28