Cyclic Connectivity Status of Fuzzy Graphs

Network theory has a big role in driving fields like communication, e-commerce, and internet. There are several graph theoretical structures to represent natural and man-made networks. Stability and connectivity are two major factors associated with networks. A fuzzy graph is an effective representation for a weight normalized network. Different connectivity parameters in fuzzy graphs can be used to find stability and optimum flow in a network. In this article, we discuss cyclic connectivity, one of the major parameter that is closely related with cyclic reachability within a normalized network. Cyclic connectivity status and cyclic status sequence associated with a fuzzy graph are discussed. A classification of vertices of a network based on the cyclic connectivity status is given. Algorithms related to the topic along with their illustration are presented. Scope and significance of this parameter are presented with the help of real-life applications.