CHROMATIC NUMBER OF BIPOLAR FUZZY GRAPHS

被引：4
|
作者：
Tahmasbpour, A. [1 ]
Borzooei, R. A. [2 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran
[2] Shahid Beheshti Univ, Dept Math, Tehran, Iran
来源：
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2016年 / 34卷 / 1-2期
关键词：
Bipolar fuzzy set; bipolar fuzzy vertex chromatic number; bipolar fuzzy edge chromatic number;
D O I：
10.14317/jami.2016.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two different approaches to chromatic number of a bipolar fuzzy graph are introduced. The first approach is based on the alpha-cuts of a bipolar fuzzy graph and the second approach is based on the definition of Eslahchi and Onagh for chromatic number of a fuzzy graph. Finally, the bipolar fuzzy vertex chromatic number and the edge chromatic number of a complete bipolar fuzzy graph, characterized.
引用
收藏
页码：49 / 60
页数：12
相关论文
共 50 条
  • [1] FUZZY CHROMATIC NUMBER OF FUZZY SOFT GRAPHS
    Hussain, R. Jahir
    Farhana, M. S. Afya
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (11): : 1125 - 1131
  • [2] Chromatic Number of Resultant of Fuzzy Graphs
    Kishore, Anjaly
    Sunitha, M. S.
    [J]. FUZZY INFORMATION AND ENGINEERING, 2016, 8 (02) : 229 - 235
  • [3] Fuzzy chromatic number and fuzzy defining number of certain fuzzy graphs
    Pourpasha, M. M.
    Soheilifar, M. R.
    [J]. APPLIED MATHEMATICS FOR SCIENCE AND ENGINEERING, 2007, : 266 - +
  • [4] On Fuzzy Chromatic Number of Join of Fuzzy Graphs with an Application
    Rosyida, Isnaini
    Widodo
    Indrati, Ch. Rini
    Indriati, Diari
    [J]. 2018 INTERNATIONAL SYMPOSIUM ON ADVANCED INTELLIGENT INFORMATICS (SAIN), 2018, : 84 - 89
  • [5] Chromatic Number of Fuzzy Graphs: Operations, Fuzzy Graph Coloring, and Applications
    Gong, Zengtai
    Zhang, Jing
    [J]. AXIOMS, 2022, 11 (12)
  • [6] ON FUZZY CHROMATIC NUMBER OF CARTESIAN PRODUCT OF SOME FUZZY GRAPHS AND ITS APPLICATION
    Rosyida, Isnaini
    Widodo
    Indrati, Ch. Rini
    Indriati, Diari
    [J]. ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2019, 20 (02): : 237 - 252
  • [7] Fuzzy chromatic number of union of fuzzy graphs: An algorithm, properties and its application
    Rosyida, Isnaini
    Widodo
    Indrati, Ch Rini
    Indriati, Diari
    Nurhaida
    [J]. FUZZY SETS AND SYSTEMS, 2020, 384 (384) : 115 - 131
  • [8] On construction of fuzzy chromatic number of cartesian product of path and other fuzzy graphs
    Rosyida, Isnaini
    Widodo
    Indrati, Ch. Rini
    Indriati, Diari
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (01) : 1073 - 1080
  • [9] On the Chromatic Number of Graphs
    S. Butenko
    P. Festa
    P. M. Pardalos
    [J]. Journal of Optimization Theory and Applications, 2001, 109 (1) : 69 - 83
  • [10] On the chromatic number of graphs
    Butenko, S
    Festa, P
    Pardalos, PM
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 109 (01) : 51 - 67
12345