%0 Journal Article
%T On finite edge-primitive and edge-quasiprimitive graphs
%A Michael Giudici
%A Cai Heng Li
%J Mathematics
%D 2009
%I arXiv
%X Many famous graphs are edge-primitive, for example, the Heawood graph, the Tutte--Coxeter graph and the Higman--Sims graph. In this paper we systematically analyse edge-primitive and edge-quasiprimitive graphs via the O'Nan--Scott Theorem to determine the possible edge and vertex actions of such graphs. Many interesting examples are given and we also determine all $G$-edge-primitive graphs for $G$ an almost simple group with socle $PSL(2,q)$.
%U http://arxiv.org/abs/0909.2473v1