Revan Degree-Based Topological Indices of Some Generalized Thorn Cog Graphs

Abstract

Topological descriptors based on Revan vertex degrees provide an effective framework for analyzing the structural characteristics of complex graphs. This work investigates Revan degree-based topological indices for generalized thorn cog graphs, including the first and second Revan indices, the Atom-Bond Connectivity Revan index, and the Geometric-Arithmetic Revan index. Closed-form expressions are derived for thorn cog complete, wheel graph, and star graphs, along with their special cases, using an edge- partitioning approach based on Revan degrees. The results offer a systematic method for evaluating these indices and demonstrate their relevance in modeling physicochemical and biological properties of chemical compounds.