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 27 条
[1]   Bipolar fuzzy graphs [J].
Akram, Muhammad .
INFORMATION SCIENCES, 2011, 181 (24) :5548-5564
[2]   SOME REMARKS ON FUZZY GRAPHS [J].
BHATTACHARYA, P .
PATTERN RECOGNITION LETTERS, 1987, 6 (05) :297-302
[3]   Strong arcs in fuzzy-graphs [J].
Bhutani, KR ;
Rosenfeld, A .
INFORMATION SCIENCES, 2003, 152 :319-322
[4]   ON AUTOMORPHISMS OF FUZZY GRAPHS [J].
BHUTANI, KR .
PATTERN RECOGNITION LETTERS, 1989, 9 (03) :159-162
[5]   Cyclic Connectivity Index of Fuzzy Graphs [J].
Binu, M. ;
Mathew, Sunil ;
Mordeson, John N. .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (06) :1340-1349
[6]   Wiener index of a fuzzy graph and application to illegal immigration networks [J].
Binu, M. ;
Mathew, Sunil ;
Mordeson, J. N. .
FUZZY SETS AND SYSTEMS, 2020, 384 :132-147
[7]   Connectivity index of a fuzzy graph and its application to human trafficking [J].
Binu, M. ;
Mathew, Sunil ;
Mordeson, J. N. .
FUZZY SETS AND SYSTEMS, 2019, 360 :117-136
[8]  
Dogra S., 2015, Progress in Nonlinear Dynamics and Chaos, V3, P41
[9]  
Gani A. N., 2008, INT REV FUZZY MATH, V3, P95
[10]  
Kauffmann A., 1973, Introduction to the Theory of Fuzzy Sets, V1
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