The automorphism groups of non-edge-transitive rose window graphs

被引：0
|
作者：
Dobson, Edward [1 ]
Kovacs, Istvan [2 ,3 ]
Miklavic, Stefko [2 ,3 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
[2] Univ Primorska, UP IAM, Koper 6000, Slovenia
[3] Univ Primorska, UP FAMNIT, Koper 6000, Slovenia
来源：
ARS MATHEMATICA CONTEMPORANEA | 2015年 / 9卷 / 01期
关键词：
Rose window graphs; automorphism group; isomorphism problem; vertex-transitive graph; GENERALIZED PETERSEN GRAPHS; I-GRAPHS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will determine the full automorphism groups of rose window graphs that are not edge-transitive. As the full automorphism groups of edge-transitive rose window graphs have been determined, this will complete the problem of calculating the full automorphism group of rose window graphs. As a corollary, we determine which rose window graphs are vertex-transitive. Finally, we determine the isomorphism classes of non-edge-transitive rose window graphs.
引用
收藏
页码：63 / 75
页数：13
相关论文
共 50 条
  • [21] On automorphism groups of bi-quasiprimitive 2-arc-transitive graphs
    Zhou, Jin-Xin
    JOURNAL OF ALGEBRA, 2023, 620 : 344 - 362
  • [22] Normal edge-transitive Cayley graphs on non-abelian simple groups
    Zhang, Xing
    Feng, Yan-Quan
    Yin, Fu-Gang
    Zhou, Jin-Xin
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2025, 215
  • [23] Homogeneous Quandles with Abelian Inner Automorphism Groups and Vertex-Transitive Graphs
    Furuki, Konomi
    Tamaru, Hiroshi
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2024, 17 (01): : 184 - 198
  • [24] Normal edge-transitive Cayley graphs of Frobenius groups
    Corr, Brian P.
    Praeger, Cheryl E.
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2015, 42 (03) : 803 - 827
  • [25] EDGE-TRANSITIVE GRAPHS AND GROUPS OF RANK-2
    STROTH, G
    JOURNAL OF ALGEBRA, 1986, 100 (01) : 1 - 24
  • [26] Rose Window Graphs
    Wilson, Steve
    ARS MATHEMATICA CONTEMPORANEA, 2008, 1 (01) : 7 - 19
  • [27] Tetravalent edge-transitive Cayley graphs of Frobenius groups
    Wang, Lei
    Liu, Yin
    Yan, Yanxiong
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 53 (02) : 527 - 551
  • [28] Normal edge-transitive Cayley graphs of Frobenius groups
    Brian P. Corr
    Cheryl E. Praeger
    Journal of Algebraic Combinatorics, 2015, 42 : 803 - 827
  • [29] ALGEBRAS WITH TRANSITIVE AUTOMORPHISM-GROUPS
    SWEET, LG
    MACDOUGALL, JA
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1986, 29 (02): : 224 - 226
  • [30] ALGEBRAS WITH TRANSITIVE AUTOMORPHISM-GROUPS
    SZABO, L
    ALGEBRA UNIVERSALIS, 1994, 31 (04) : 589 - 598
12345