On the intersection graph of a finite group

被引：0
|
作者：
Hossein Shahsavari
Behrooz Khosravi
机构：
[1] Amirkabir University of Technology (Tehran Polytechnic),Department of Pure Mathematics, Faculty of Mathematics and Computer Science
来源：
Czechoslovak Mathematical Journal | 2017年 / 67卷
关键词：
intersection graph; regular graph; simple group; automorphism group; 05C25; 20E32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For a finite group G, the intersection graph of G which is denoted by Γ(G) is an undirected graph such that its vertices are all nontrivial proper subgroups of G and two distinct vertices H and K are adjacent when H ∩ K ≠ 1. In this paper we classify all finite groups whose intersection graphs are regular. Also, we find some results on the intersection graphs of simple groups and finally we study the structure of Aut(Γ(G)).
引用
收藏
页码：1145 / 1153
页数：8
相关论文
共 50 条
  • [1] ON THE INTERSECTION GRAPH OF A FINITE GROUP
    Shahsavari, Hossein
    Khosravi, Behrooz
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (04) : 1145 - 1153
  • [2] On the intersection power graph of a finite group
    Bera, Sudip
    ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2018, 6 (01) : 178 - 189
  • [3] On the diameter of the intersection graph of a finite simple group
    Xuanlong Ma
    Czechoslovak Mathematical Journal, 2016, 66 : 365 - 370
  • [4] The intersection power graph associated with a finite group
    Lv, Wei
    Ma, Xuanlong
    SCIENCEASIA, 2021, 47 (05): : 657 - 664
  • [5] Thickness of the subgroup intersection graph of a finite group
    Su, Huadong
    Zhu, Ling
    AIMS MATHEMATICS, 2021, 6 (03): : 2590 - 2606
  • [6] Planarity of the intersection graph of subgroups of a finite group
    Ahmadi, Hadi
    Taeri, Bijan
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (03)
  • [7] The Clique Number of the Intersection Graph of a Finite Group
    Beheshtipour, Arezoo
    Amiri, Seyyed Majid Jafarian
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (05)
  • [8] The Clique Number of the Intersection Graph of a Finite Group
    Arezoo Beheshtipour
    Seyyed Majid Jafarian Amiri
    Bulletin of the Iranian Mathematical Society, 2023, 49
  • [9] On the diameter of the intersection graph of a finite simple group
    Ma, Xuanlong
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2016, 66 (02) : 365 - 370
  • [10] COMPENDENCY OF INTERSECTION GRAPH OF A FINITE SIMPLE GROUP SUBGROUP
    VEDERNIKOV, VA
    MONAKHOV, VS
    SHEMETKOV, LA
    DOKLADY AKADEMII NAUK BELARUSI, 1977, 21 (05): : 398 - 401
12345