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ON EDGE-PRIMITIVE GRAPHS WITH SOLUBLE EDGE-STABILIZERS
Part of
- Graph theory
- Permutation groups
HUA HAN, HONG CI LIAO, ZAI PING LU
Journal:

Journal of the Australian Mathematical Society / Volume 113 / Issue 2 / October 2022

Published online by Cambridge University Press:

06 August 2021, pp. 160-187

Print publication:

October 2022
- Article
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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 that are $2$ -arc-transitive and have soluble edge-stabilizers.