Fuzzy Sets and Systems
Volume 360, 2019, Pages 117-136

Connectivity index of a fuzzy graph and its application to human trafficking (Article)

M B. , Mathew S.* , Mordeson J.N.
  • a Department of Mathematics, National Institute of Technology Calicut673601, India
  • b Department of Mathematics, National Institute of Technology Calicut673601, India
  • c Department of Mathematics, Creighton University68178, United States

Abstract

Connectivity is a high priority concept in fuzzy graphs. The stability of a fuzzy graph is determined by the strength of connectedness of each pair of its nodes. This paper introduces two measures of connectivity called as connectivity index and average connectivity index of fuzzy graphs. Several results related to these parameters are obtained. These measures can be used to determine the potential flow of a fuzzy graph. Certain special types of nodes called CEN, CRN, and neutral nodes are also introduced and algorithms for finding these nodes are provided. Applications of these concepts in two different type of networks are provided. © 2018 Elsevier B.V.

Author Keywords

Network Connectivity index Average connectivity index Fuzzy graph Human trafficking

Index Keywords

Graph theory Networks (circuits) Fuzzy sets ITS applications Fuzzy graph Flow graphs Connectivity indices Fuzzy systems human trafficking crime
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85050378308&doi=10.1016%2fj.fss.2018.06.007&partnerID=40&md5=ac4d7e206ebc7f5d19264488d4219be4
DOI: 10.1016/j.fss.2018.06.007
ISSN: 01650114
Cited by: 5
Original Language: English