Some Degree-Based Topological Indices of Wheel Related Graphs

Abstract

Some Degree-Based Topological Indices of Wheel Related Graphs A topological index is a numeric value associated with the graph. In this thesis, we study the topological indices of certain wheel related graphs, namely m-level gear graph, m level antiweb-wheel graph, and m-level antiweb-gear graph represented by J2n,m, AWWn,m and AWJ2n,m, respectively. We compute geometric arithmetic index, atom bond connectiv ity index, first and second multiple Zagreb indices, first and second Zagreb indices, third Zagreb index, first and second Zagreb polynomial indices, F-index, augmented Zagreb in dex, harmonic index, Shigehalli and Kanabur indices and Randiˆc index.