On finite edge-primitive and edge-quasiprimitive graphs

被引：18
|
作者：
Giudici, Michael [1 ]
Li, Cai Heng [1 ]
机构：
[1] Univ Western Australia, Sch Math & Stat, Crawley, WA 6009, Australia
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 2010年 / 100卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
Edge-primitive graphs; Edge-quasiprimitive graphs; MAXIMAL-SUBGROUPS; HOMOGENEOUS FACTORIZATIONS; AUTOMORPHISM-GROUPS; PERMUTATION-GROUPS;
D O I：
10.1016/j.jctb.2009.09.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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). (C) 2009 Elsevier Inc. All rights reserved.
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页码：275 / 298
页数：24
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