Study on some Adriatic indices and related aspects

Abstract

This research work primarily frame-up with some topological indices on the different types of general graphs, molecular graphs and graph operations. Analyzed some explicit expression for the Gourava index of four operations on graphs in terms of first and second Zagreb index. The investigation on a generalized version of some Adriatic indices of Dutch windmill graph using graph operators such as subdivision, line and derived graphs. We frame-up with the general expression for some discrete Adriatic indices and Sanskruti index of carbon nanocones CNCm[n]. The computation of certain degree based Adriatic indices of triglyceride using different graph operators. The explicit interpretation of inverse sum index reformulated Zagreb, atom-bond connectivity and Shegehalli and Kanabur1 indices in terms of the graph size and maximum or minimum vertex degrees of special splice graphs are obtained. Determine the DS of S-vertex(edge) corona and S-edge neighbourhood corona operations of standard graphs. Also, generalizing DS of S-vertex(edge) corona and S-vertex(edge) neighbourhood corona operations of graphs.