Network Analysis: - A Fuzzy Graph Theoretic Approach

The visualization of architecture of networks is possible only by means of graphs, in which vertices symbolize nodes and edges symbolize links between nodes. It is almost infeasible to build up a design of a network that is favorable from all aspects. A suitable network has to be designed depending on the requirements of the field. The main objective of this book is to propose some of the important connectivity parameters related to a network by modeling it as a fuzzy graph and characterize different types of structures using them. Connectivity index and average connectivity index, which we propose in this book, are indicators of flow within a network. Wiener index provides a kind of distance notion whereas cyclic connectivity index and average cyclic connectivity index provide measures of cyclic reachability of the network. We provide algorithms related to these parameters. While designing the network topology, these parameters assure a minimum static flow and help to keep the network stable and dynamic. We believe that, this book will help those who are working on network analysis especially students, researchers and academicians all over the globe.