Generalized Zagreb indices for some silicate networks

Abstract

Graph theory received a great attention in chemical graph theory which is a branch of mathematical chemistry to model a molecule through a graph where vertices are considered as the atoms of the molecule and edges are considered as the bonds between them. A topological index or molecular descriptor of a graph is a numeric quantity obtained mathematically which characterizes its topology and it is invariant under graph isomorphisms. In chemical graph theory, various topological indices play important role in predicting physicochemical properties of chemical compounds. In this paper, we compute the general Zagreb index of some silicate networks and hence obtain some degree based topological indices such as Zagreb indices, forgotten topological index, redefined Zagreb index, general first Zagreb index, general Randić index and symmetric division deg index of silicate networks.