Degree Based Topological Indices on Fuzzy Graph and its Applications

Abstract

The degree-based topological indices of fuzzy graphs, emphasizing their mathematical definitions, properties, and potential applications. Topological indices are numerical values that characterize the structure of a graph and are widely applied in chemistry and network analysis. The fuzzy graphs have emerged as powerful tools for developing novel degree-based topological indices, effectively capturing uncertainty and vagueness in real-world systems. In this study explore the relationships with  topological indices, and highlight their applicability in modeling complex networks. The work particularly emphasizes fuzzy graphs based on the Hyper-Zagreb index and contributes to the understanding of fuzzy regularization, with a specific focus on antiviral drugs. This research opens new avenues for both theoretical exploration and applied studies in the domain of fuzzy graph theory.