English

On edge-primitive graphs with soluble edge-stabilizers

Combinatorics 2020-10-09 v2 Group Theory

Abstract

A graph is edge-primitive if its automorphism group acts primitively on the edge set, and 2-arc-transitive if its automorphism group acts transitively on the set of 2-arcs. In this paper, we present a classification for those edge-primitive graphs which are 2-arc-transitive and have soluble edge-stabilizers.

Keywords

Cite

@article{arxiv.1906.09414,
  title  = {On edge-primitive graphs with soluble edge-stabilizers},
  author = {Huan Han and Hong Ci Liao and Zai Ping Lu},
  journal= {arXiv preprint arXiv:1906.09414},
  year   = {2020}
}

Comments

25pages

R2 v1 2026-06-23T10:00:35.093Z