Domination in Bipolar Fuzzy Graphs

被引:17
|
作者
Karunambigai, M. G. [1 ]
Akram, M. [2 ]
Palanivel, K. [3 ]
Sivasankar, S. [4 ]
机构
[1] Sri Vasavi Coll, Dept Math, Erode 638016, Tamil Nadu, India
[2] Univ Punjab, Punjab Univ Coll Informat Technol, Lahore 54000, Pakistan
[3] Oxford Coll Engn, Dept Math, Bangalore 560068, Karnataka, India
[4] PES Inst Technol, Dept Sci & Humanities, Bangalore 560085, Karnataka, India
关键词
Bipolar fuzzy graph (BFG); strong edge; Dominating set; Domination number; Independent set; Independence number; Irredundant set; Irredundance number;
D O I
10.1109/FUZZ-IEEE.2013.6622326
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The concepts of cardinality, dominating set, independent set, total dominating number and independent dominating number of bipolar fuzzy graphs are introduced and investigated. The notion of an irredundance number of a bipolar fuzzy graph is also discussed.
引用
收藏
页数:6
相关论文
共 50 条
  • [31] Domination in Plithogenic product fuzzy graphs
    Bharathi, T.
    Leo, S.
    Davvaz, B.
    [J]. JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2023, 19 (02) : 5 - 22
  • [32] EFFICIENT DOMINATION IN OPERATIONS ON FUZZY GRAPHS
    Ponnappan, C. Y.
    Selvaraj, V. Jesudas
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2019, 18 (10): : 1071 - 1086
  • [33] Notes on "Bipolar fuzzy graphs"
    Yang, Hai-Long
    Li, Sheng-Gang
    Yang, Wen-Hua
    Lu, You
    [J]. INFORMATION SCIENCES, 2013, 242 : 113 - 121
  • [34] Regular bipolar fuzzy graphs
    Akram, Muhammad
    Dudek, Wieslaw A.
    [J]. NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S197 - S205
  • [35] Bipolar Fuzzy Competition Graphs
    Alshehri, Noura Omair
    Akram, Muhammad
    [J]. ARS COMBINATORIA, 2015, 121 : 385 - 402
  • [36] Regular bipolar fuzzy graphs
    Muhammad Akram
    Wieslaw A. Dudek
    [J]. Neural Computing and Applications, 2012, 21 : 197 - 205
  • [37] Bipolar fuzzy graphs with applications
    Akram, Muhammad
    [J]. KNOWLEDGE-BASED SYSTEMS, 2013, 39 : 1 - 8
  • [38] Perfect bipolar fuzzy graphs
    Mohideen, Basheer Ahamed
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (02): : 120 - 128
  • [39] Cayley Bipolar Fuzzy Graphs
    Alshehri, Noura O.
    Akram, Muhammad
    [J]. SCIENTIFIC WORLD JOURNAL, 2013,
  • [40] ANTIPODAL BIPOLAR FUZZY GRAPHS
    Akram, Muhammad
    Li, Sheng-Gang
    Shum, K. P.
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, (31): : 97 - 110