On θ-commutators and the corresponding non-commuting graphs

被引：0
|
作者：
Shalchi, S. [1 ]
Erfanian, A. [2 ,3 ]
Farrokhi, M. D. G. [2 ,3 ]
机构：
[1] Ferdowsi Univ Mashhad, Int Campus,POB 1159, Mashhad 91775, Iran
[2] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159, Mashhad 91775, Iran
[3] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, POB 1159, Mashhad 91775, Iran
来源：
OPEN MATHEMATICS | 2017年 / 15卷
关键词：
Commutator; Automorphism; Independence number; Chromatic number; Multipartite graph; SUBGROUPS;
D O I：
10.1515/math-2017-0126
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theta-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to theta-commutators, we define the theta-non-commuting graphs of groups and study their correlations with other notions. Furthermore, we study independent sets in theta-non-commuting graphs, which enable us to evaluate the chromatic number of such graphs.
引用
收藏
页码：1530 / 1538
页数：9
相关论文
共 50 条
  • [1] Non-commuting graphs of rings
    Erfanian, A.
    Khashyarmanesh, K.
    Nafar, Kh.
    [J]. DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2015, 7 (03)
  • [2] A Note on Integral Non-Commuting Graphs
    Ghorbania, Modjtaba
    Gharavi-Alkhansari, Zahra
    [J]. FILOMAT, 2017, 31 (03) : 663 - 669
  • [3] NON-COMMUTING GRAPHS OF NILPOTENT GROUPS
    Abdollahi, Alireza
    Shahverdi, Hamid
    [J]. COMMUNICATIONS IN ALGEBRA, 2014, 42 (09) : 3944 - 3949
  • [4] Representing graphs by the non-commuting relation
    Abert, Miklos
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 69 (03): : 261 - 269
  • [5] On non-commuting graphs of some finite groups
    Moradipour, K.
    Sarmin, N.H.
    Erfanian, A.
    [J]. International Journal of Applied Mathematics and Statistics, 2013, 45 (15): : 473 - 476
  • [6] COMPUTATION OF TOPOLOGICAL INDICES OF NON-COMMUTING GRAPHS
    Jahandideh, M.
    Darafsheh, M. R.
    Shirali, N.
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (34): : 299 - 310
  • [7] On the structure of isoclinism classes of the non-commuting graphs
    Tolue B.
    Rafiei A.
    Erfanian A.
    [J]. Afrika Matematika, 2018, 29 (3-4) : 339 - 348
  • [8] Simple groups are characterized by their non-commuting graphs
    Solomon, Ronald M.
    Woldar, Andrew J.
    [J]. JOURNAL OF GROUP THEORY, 2013, 16 (06) : 793 - 824
  • [9] Degree Subtraction Energy of Commuting and Non-Commuting Graphs for Dihedral Groups
    Romdhini, Mamika Ujianita
    Nawawi, Athirah
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (03): : 497 - 508
  • [10] NON-COMMUTING
    BRIGGS, KM
    [J]. NEW SCIENTIST, 1985, 108 (1483) : 71 - 71
12345