Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking
Shanookha Ali, Sunil Mathew, John Nelson Mordeson, Hossein Rashmanlou · New Mathematics and Natural Computation · 2018
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 [Formula: see text]-connected fuzzy graphs for an arbitrary real number [Formula: see text] 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 [Formula: see text]-connected fuzzy graph is introduced and characterized towards the end. An application related to human trafficking is also discussed.