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.

引用

页码：275 / 298

页数：24

共 18 条

[1] BADDELEY RW, 1993, P LOND MATH SOC, V67, P547
[2] Factorizations of primitive permutation groups
Baumeister, B
[J]. JOURNAL OF ALGEBRA, 1997, 194 (02) : 631 - 653
[3] Conway J. H., 1985, ATLAS of Finite Groups
[4] Dickson Leonard Eugene, 1958, Linear Groups: With an Exposition of the Galois Field Theory
[5] Dixon J. D., 1996, Graduate Text in Mathematics, V163
[6] Homogeneous factorisations of graphs and digraphs
Giudici, M
Li, CH
Potocnik, P
Praeger, CE
[J]. EUROPEAN JOURNAL OF COMBINATORICS, 2006, 27 (01) : 11 - 37
[7] Giudici M., MATHGR0703685
[8] Homogeneous factorisations of complete multipartite graphs
Giudici, Michael
Li, Cai Heng
Potocnik, Primoz
Praeger, Cheryl E.
[J]. DISCRETE MATHEMATICS, 2007, 307 (3-5) : 415 - 431
[9] Giudici M, 2008, APPLICATIONS OF GROUP THEORY TO COMBINATORICS, P27
[10] MAXIMAL-SUBGROUPS OF THE CLASSICAL-GROUPS ASSOCIATED WITH NON-ISOTROPIC SUBSPACES OF A VECTOR-SPACE
KING, O
[J]. JOURNAL OF ALGEBRA, 1981, 73 (02) : 350 - 375

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