Connectivity and Wiener Index of Fuzzy Incidence Graphs

摘要

Connectivity is a key theory in fuzzy incidence graphs (FIGs). In this paper, we introduced connectivity index (CI), average connectivity index (ACI), and Wiener index (WI) of FIGs. Three types of nodes including fuzzy incidence connectivity enhancing node (FICEN), fuzzy incidence connectivity reducing node (FICRN), and fuzzy incidence connectivity neutral node (FICNN) are also discussed in this paper. A correspondence between WI and CI of a FIG is also computed.