Connectivity and Wiener Index of Fuzzy Incidence Graphs

Abstract

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.