Reverse Sum Revan Degree-Based Topological Indices for Analysing Dendrimer Structures
نویسندگان
1 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, Vandalur-Kelambakkam road, Chennai-600127, Tamil Nadu, India
2 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, Vandalur-Kelambakkam road, Chennai-600127, Tamil Nadu, India
doi
10.48309/chemm.2025.504927.1894چکیده
A topological index of a molecular graph G (V,E) with an atom set V and a bond set E, is a numerical value that characterizes the structural properties of the graph . The article aims to introduce and analyse a novel degree-based topological indices of molecular structures known as reverse sum Revan indices, which include the reverse sum Revan first and second Zagreb indices, first and second hyper Zagreb indices, forgotten index, and atom-bond connectivity index. Dendrimers are synthetic macromolecules with a highly branched, tree-like structures composed of a central core, inner layers, and outer shells. The dendrimer structures are converted into an isomorphic molecular graph, represented as G (V,E) by considering atom set V as vertices and bond set E as edges. The edge decomposition method is used to determine the exact values of the reverse sum Revan indices. The article focuses on three types of dendrimer structures namely Polypropyl ether imine-based dendrimer (PETIM), Zinc-based porphyrin dendrimer (DPZn), and Porphyrin-based dendrimer (DnPn) to compute the reverse sum Revan indices. A comparative numerical analysis of these indices was performed to highlight the variations in structures among the dendrimers by providing graphical representations. The computed numerical values of the reverse sum Revan indices, along with their graphical representations reveal, significant variations among the three dendrimers. The study presents a mathematical framework for analysing dendrimers using these indices, offering insights into molecular graph properties and aiding the topological exploration of complex macromolecules in nanoscience and theoretical chemistry.