Pentavalent symmetric graphs of order 8 p2

被引：0
|
作者：
Lou, Ben Gong [1 ]
Wang, Shi Xin [1 ]
机构：
[1] Yunnan Univ, Sch Math & Stat, Kunming 650500, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 01期
关键词：
Arc-transitive graph; Normal quotient; Automorphism group; CLASSIFICATION; PRODUCT; TWICE;
D O I：
10.1007/s13226-022-00248-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A graph is said to be symmetric if its full automorphism group is transitive on its arcs. In this paper, a complete classification of pentavalent symmetric graphs of order 8p(2) is given for each prime p. It is shown that a connected pentavalent symmetric graph of order 8p(2) exists if and only if p = 2 or 3, and there are four such graphs up to isomorphism.
引用
收藏
页码：253 / 258
页数：6
相关论文
共 50 条
  • [21] Nonorientable regular embeddings of graphs of order p2
    Du, Shao-Fei
    Kwak, Jin Ho
    [J]. DISCRETE MATHEMATICS, 2010, 310 (12) : 1743 - 1751
  • [22] Cubic symmetric graphs of order 8p3
    Feng, Yan-Quan
    Ghasemi, Mohsen
    Yang, Da-Wei
    [J]. DISCRETE MATHEMATICS, 2014, 318 : 62 - 70
  • [23] Semisymmetric Graphs of Order 2p3 with Valency p2
    Wang, Li
    Guo, Songtao
    [J]. ALGEBRA COLLOQUIUM, 2024, 31 (02) : 199 - 208
  • [24] Pentavalent Arc-transitive Graphs of Order 2p2q
    Liu, Hailin
    Lou, Bengong
    Ling, Bo
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (04): : 767 - 777
  • [25] The Geodetic Number for the Unit Graphs Associated with Rings of Order P and P2
    Abdelkarim, Heba Adel
    [J]. SYMMETRY-BASEL, 2023, 15 (09):
  • [26] Pentavalent symmetric graphs of order four times an odd square-free integer
    Ling, Bo
    Lou, Ben Gong
    Wu, Ci Xuan
    [J]. ARS MATHEMATICA CONTEMPORANEA, 2019, 16 (01) : 81 - 95
  • [27] Classifying cubic symmetric graphs of order 52p2
    Hao, Shangjing
    Lin, Shixun
    [J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2023, 72 (01) : 55 - 60
  • [28] A classification of cubic symmetric graphs of order 16p2
    MEHDI ALAEIYAN
    B N ONAGH
    M K HOSSEINIPOOR
    [J]. Proceedings - Mathematical Sciences, 2011, 121 : 249 - 257
  • [29] Classifying cubic symmetric graphs of order 18p2
    Alaeiyan, M.
    Hosseinipoor, M. K.
    Akbarizadeh, M.
    [J]. ARMENIAN JOURNAL OF MATHEMATICS, 2020, 12 (01): : 1 - 11
  • [30] A classification of cubic symmetric graphs of order 16p 2
    Alaeiyan, Mehdi
    Onagh, B. N.
    Hosseinipoor, M. K.
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2011, 121 (03): : 249 - 257
12345