Neighborhood connectivity index of a fuzzy graph and its application to human trafficking

被引:0
|
作者
Josy, A. [1 ]
Mathew, S. [1 ]
Mordeson, J. N. [2 ]
机构
[1] Natl Inst Technol Calicut, Dept Math, Kattangal 673601, India
[2] Creighton Univ, Dept Math, Omaha, NE 68178 USA
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2022年 / 19卷 / 03期
关键词
Fuzzy graph; connectivity; neighborhood connectivity index; human trafficking; ARCS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Connectivity is an inevitable part of fuzzy graph theory. This article discusses about a parameter in fuzzy graph theory termed as neighborhood connectivity index. Several bounds and index values of structures like trees, cycles and complete fuzzy graphs are obtained. Generalized formula for neighborhood connectivity index of fuzzy graphs obtained by operations like union, join, composition, Cartesian product and tensor product are also developed. An algorithm for finding neighborhood connectivity index is also proposed. On practical grounds, a human trafficking problem is discussed as a real-life application.
引用
收藏
页码:139 / 154
页数:16
相关论文
共 50 条
  • [21] Comment on "Wiener index of a fuzzy graph and application to illegal immigration networks"
    Islam, Sk Rabiul
    Maity, Sayantan
    Pal, Madhumangal
    FUZZY SETS AND SYSTEMS, 2020, 384 : 148 - 151
  • [22] Multiplicative Version of First Zagreb Index in Fuzzy Graph and its Application in Crime Analysis
    Sk Rabiul Islam
    Madhumangal Pal
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2024, 94 : 127 - 141
  • [23] Multiplicative Version of First Zagreb Index in Fuzzy Graph and its Application in Crime Analysis
    Islam, Sk Rabiul
    Pal, Madhumangal
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2024, 94 (01) : 127 - 141
  • [24] Cyclic Connectivity Index of Fuzzy Graphs
    Binu, M.
    Mathew, Sunil
    Mordeson, John N.
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (06) : 1340 - 1349
  • [25] Utilizing lexicographic max product of picture fuzzy graph in human trafficking
    Liu, Peide
    Asim, Mudasser Hussain
    Ali, Sikander
    Azeem, Muhammad
    Almohsen, Bandar
    AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (11)
  • [26] Defective vertex and stable connectivity of a fuzzy graph and their application to identify the chickenpox
    Sivasankar, S.
    Bera, Sanchari
    Maaz, Syed Ibrahim
    Pal, Madhumangal
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (02) : 2253 - 2265
  • [27] Further development of F-index for fuzzy graph and its application in Indian railway crime
    Sk Rabiul Islam
    Madhumangal Pal
    Journal of Applied Mathematics and Computing, 2023, 69 : 321 - 353
  • [28] Neighbourhood and competition graphs under fuzzy incidence graph and its application
    Islam, Sk Rabiul
    Pal, Madhumangal
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (07)
  • [29] Fuzzy average edge connectivity with its application to communication networks
    Junye Ma
    Lin Li
    Jing Li
    Soft Computing, 2023, 27 : 1367 - 1378
  • [30] Second Zagreb index for fuzzy graphs and its application in mathematical chemistry
    Islam, S. R.
    Pal, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2023, 20 (01): : 119 - 136