Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking

Shanookha Ali (), Sunil Mathew, John N. Mordeson () and Hossein Rashmanlou ()
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Shanookha Ali: Department of Mathematics, National Institute of Technology, Calicut 673601, Kerala, India
Sunil Mathew: Department of Mathematics, National Institute of Technology, Calicut 673601, Kerala, India
John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Hossein Rashmanlou: Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 03, 457-485

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.

Keywords: Fuzzy graph; connectivity; vertex connectivity; uniformly t-connected fuzzy graph (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S1793005718500278

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