Skip to content
DraconiticResearch
Search Sources API
190,851 studies31 sourcesUpdated just now
Peer-reviewedCC BY 4.0The Electronic Journal of Combinatorics

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

  • Hao Nan Chen
  • Jing Jian Li
  • Ji Cheng Ma
  • Hao Yu
Open at sourcePDFDOICite

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.

Related

  1. On Arc-Transitive Regular Covers of Cubic Edge-Primitive Graphs
    Feng Deng, Jing Jian Li, Yu Wang +1
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  2. On 2-Arc-Transitive Cayley Graphs of Nonabelian Characteristically Simple Groups
    Feng Deng, Jing Jian Li, Hao Yu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  3. Isomorphisms of abelian Cayley graphs with their natural edge-colouring
    Shirin Alimirzaei, Dave Witte Morris
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  4. Cubic edge-transitive graphs of order ℓ p2
    Xue Wang, Jun-Jie Huang, Da-Wei Yang
    arXivPreprintarXiv licenceFull textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  5. Primitive flag-transitive generalized quadrangles
    Timothy C. Burness, Tao Feng, Jianbing Lu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@article{chen2026edgeprimitive,
  title = {{On Edge-Primitive $2$-Arc-Transitive (Bi-)Cayley Graphs}},
  author = {Hao Nan Chen and Jing Jian Li and Ji Cheng Ma and Hao Yu},
  journal = {The Electronic Journal of Combinatorics},
  year = {2026},
  month = nov,
  doi = {10.37236/15130},
  url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p28},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - On Edge-Primitive $2$-Arc-Transitive (Bi-)Cayley Graphs
AU  - Hao Nan Chen
AU  - Jing Jian Li
AU  - Ji Cheng Ma
AU  - Hao Yu
PY  - 2026
DA  - 2026/11/06
JO  - The Electronic Journal of Combinatorics
DO  - 10.37236/15130
UR  - https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p28
AB  - 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.
SN  - 1077-8926
ER  -