Sombor Index of Fuzzy Graphs and its Applications

Abstract

 The Sombor index has proved its importance in mathematical chemistry due to its high predicting power in physico-chemical properties of chemical compounds. In this paper, we have explore the properties of the Sombor index of fuzzy graphs. The study presented the relationship between the Sombor index and the first Zagreb index of fuzzy graphs. As an application of the Sombor index, we have analyzed the internet network of Bharati Airtel Ltd India for enhancing the efficiency and effectiveness of internet systems.