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Connectivity index  CI has a vital role in real-world problems especially in Internet routing and transport network flow. Intuitionistic fuzzy graphs  IFGs allow to describe two aspects of information using membership and nonmembership degrees under uncertainties. Keeping in view the importance of  CI s in real life problems and comprehension of  IFGs , we aim to develop some  CI s in the environment of  IFGs . We introduce two types of  CI s , namely,  CI and average  CI , in the frame of  IFGs . In spite of that, certain kinds of nodes called  IF connectivity enhancing node  IFCEN ,  IF connectivity reducing node  IFCRN , and  IF neutral node are introduced for  IFGs . We have introduced strongest strong cycles,  θ -evaluation of vertices, cycle connectivity, and  CI of strong cycle. Applications of the  CI s in two different types of networks are done, Internet routing and transport network flow, followed by examples to show the applicability of the proposed work.

Connectivity Indices of Intuitionistic Fuzzy Graphs and Their Applications in Internet Routing and Transport Network Flow