Vertex transitive embeddings of complete graphs

被引：6
|
作者：
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 | 2009年 / 99卷 / 02期
关键词：
Complete graphs; Vertex transitive maps; Frobenius groups; Cayley maps; MAXIMAL-SUBGROUPS; REGULAR MAPS; CAYLEY MAPS; AUTOMORPHISM-GROUPS; EXCEPTIONAL GROUPS; LIE TYPE; FINITE; SURFACES;
D O I：
10.1016/j.jctb.2008.09.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a vertex transitive complete map M satisfies one of the following: (i) Aut M is regular on the vertex set, (ii) Aut M has a subgroup of index at most 2 which is a Frobenius group with the Frobenius kernel regular on the vertex set. or (iii) Aut M = PSL(2, 2(e)) and M is a non-orientable non-Cayley map. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：447 / 454
页数：8
相关论文
共 50 条
  • [31] Locally s-distance transitive graphs and pairwise transitive designs
    Devillers, Alice
    Giudici, Michael
    Li, Cai Heng
    Praeger, Cheryl E.
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (07) : 1855 - 1870
  • [32] A family of half-transitive graphs
    Chen, Jing
    Li, Cai Heng
    Seress, Akos
    ELECTRONIC JOURNAL OF COMBINATORICS, 2013, 20 (01)
  • [33] Classes of quantum codes derived from self-dual orientable embeddings of complete multipartite graphs
    Naghipour, Avaz
    Jafarizadeh, Mohammad Ali
    QUANTUM INFORMATION PROCESSING, 2017, 16 (12)
  • [34] Classes of quantum codes derived from self-dual orientable embeddings of complete multipartite graphs
    Avaz Naghipour
    Mohammad Ali Jafarizadeh
    Quantum Information Processing, 2017, 16
  • [35] Simplicial Embeddings Between Multicurve Graphs
    Erlandsson, Viveka
    Fanoni, Federica
    MICHIGAN MATHEMATICAL JOURNAL, 2017, 66 (03) : 549 - 567
  • [36] A complete classification of edge-primitive graphs of valency 6
    Wu, Cixuan
    Yin, Fu-Gang
    DISCRETE MATHEMATICS, 2024, 347 (12)
  • [37] Locally s-distance transitive graphs
    Devillers, Alice
    Giudici, Michael
    Li, Cai Heng
    Praeger, Cheryl E.
    JOURNAL OF GRAPH THEORY, 2012, 69 (02) : 176 - 197
  • [38] Finite primitive distance-transitive graphs
    van Bon, John
    EUROPEAN JOURNAL OF COMBINATORICS, 2007, 28 (02) : 517 - 532
  • [39] On the quantum symmetry of distance-transitive graphs
    Schmidt, Simon
    ADVANCES IN MATHEMATICS, 2020, 368
  • [40] An algorithm for generating generalized splines on graphs such as complete graphs, complete bipartite graphs and hypercubes
    Duggaraju, Radha Madhavi
    Mazumdar, Lipika
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (01) : 276 - 295
12345