On topological properties of hexagonal andsilicate networks

Abstract

Topological indices are the numerical quantities associated to a simple and finite graphswhich represent its structure. There are certain types of topological indices such as degreebased topological indices, distance based topological indices and counting related topo-logical indices etc. The degree based topological indices are exploited to estimate thebioactivity of chemical compounds. In this paper, we compute first general Zagreb index,general Randi ́cconnectivity index, general sum-connectivity index, atom-bond connectiv-ity index, geometric-arithmetic index,ABC4index andGA5index of the line graphs ofsilicate networks, chain silicate networks and hexagonal networks by using the subdivisionmethod.Mathematics Subject Classification (2010).05C90