Arc-Transitive Graphs of Square-free Order with Valency 11

被引：1
|
作者：
Li, Guang [1 ]
Ling, Bo [2 ]
Lu, Zaiping [3 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China
[2] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650000, Yunnan, Peoples R China
[3] Nankai Univ, Ctr Combinator, LPMC, Tianjin 300071, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2021年 / 28卷 / 04期
基金：
中国国家自然科学基金;
关键词：
arc-transitive graph; coset graph; normal quotient; vertex-stabilizer; (almost) simple group; SYMMETRICAL GRAPHS; PRODUCT;
D O I：
10.1142/S100538672100050X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a complete list of connected arc-transitive graphs of square-free order with valency 11. The list includes the complete bipartite graph K-11;11, the normal Cayley graphs of dihedral groups and the graphs associated with the simple group J(1) and PSL(2, p), where p is a prime.
引用
收藏
页码：645 / 654
页数：10
相关论文
共 50 条
  • [1] Arc-transitive graphs of square-free order and small valency
    Li, Cai Heng
    Lu, Zai Ping
    Wang, Gaixia
    [J]. DISCRETE MATHEMATICS, 2016, 339 (12) : 2907 - 2918
  • [2] Arc-Transitive Pentavalent Graphs of Square-Free Order
    Suyun Ding
    Bo Ling
    Bengong Lou
    Jiangmin Pan
    [J]. Graphs and Combinatorics, 2016, 32 : 2355 - 2366
  • [3] Arc-Transitive Pentavalent Graphs of Square-Free Order
    Ding, Suyun
    Ling, Bo
    Lou, Bengong
    Pan, Jiangmin
    [J]. GRAPHS AND COMBINATORICS, 2016, 32 (06) : 2355 - 2366
  • [4] Classifying arc-transitive circulants of square-free order
    Li, CH
    Marusic, D
    Morris, J
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2001, 14 (02) : 145 - 151
  • [5] Classifying arc-transitive circulants of square-free order
    [J]. 1600, Kluwer Academic Publishers (14):
  • [6] Classifying Arc-Transitive Circulants of Square-Free Order
    Caiheng Li
    Dragan Marušič
    Joy Morris
    [J]. Journal of Algebraic Combinatorics, 2001, 14 : 145 - 151
  • [7] Arc-transitive cubic graphs of order four times an odd square-free integer
    Ling, Bo
    Lou, Ben Gong
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (11)
  • [8] Locally-primitive Arc-transitive 10-Valent Graphs of Square-free Order
    Li, Guang
    Lu, Zaiping
    Zhang, Xiaoyuan
    [J]. ALGEBRA COLLOQUIUM, 2018, 25 (02) : 243 - 264
  • [9] A characterisation on arc-transitive graphs of prime valency
    Li, Jing Jian
    Ling, Bo
    Liu, Guodong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 325 : 227 - 233
  • [10] Serniregular automorphisms of arc-transitive graphs with valency pq
    Xu, Jing
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (03) : 622 - 629
12345