New Mathematics and Natural Computation
Volume 14, Issue 3, 2018, Pages 457-485

Vertex connectivity of fuzzy graphs with applications to human trafficking (Article)

Ali S. , Mathew S.* , Mordeson J.N. , Rashmanlou H.
  • a Department of Mathematics, National Institute of Technology, Calicut, Kerala, 673601, India
  • b Department of Mathematics, National Institute of Technology, Calicut, Kerala, 673601, India
  • c Department of Mathematics, Creighton University, Omaha, NE 68178, United States
  • d Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

Connectivity is the most important aspect of a dynamic network. It has been widely studied and applied in different perspectives in the past. In this paper, constructions of t-connected fuzzy graphs for an arbitrary real number t and average fuzzy vertex connectivity of fuzzy graphs are discussed. Average fuzzy vertex connectivity of fuzzy trees, fuzzy cycles and complete fuzzy graphs are studied. The concept of a uniformly t-connected fuzzy graph is introduced and characterized towards the end. An application related to human trafficking is also discussed. © World Scientific Publishing Company.

Author Keywords

Fuzzy graph Connectivity Vertex connectivity Uniformly t-connected fuzzy graph

Index Keywords

[No Keywords available]
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052234304&doi=10.1142%2fS1793005718500278&partnerID=40&md5=9358b0fcab8f26776b45e11b04ef8609
DOI: 10.1142/S1793005718500278
ISSN: 17930057
Cited by: 1
Original Language: English