Author/Authors :
Mathew, S Department of Mathematics - National Institute of Technology Calicut, Calicut, Kerala, 673601, India , Mordeson, J.N Department of Mathewmatics - Creighton University, Nebraska, USA , Yang, H.L College of Mathematics and Information Science - Shaanxi Normal University, Xian, China
Abstract :
Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edge
relationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpected
flow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,
node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships with
fuzzy connectivity parameters are discussed and results similar to Whitney’s theorems are obtained. Also, the incidence
is used to model flows in human trafficking networks.
Keywords :
Human trafficking , Complete fuzzy incidence , Cutpair , Incidence cut , Fuzzy incidence graph