Graphene is one of the most promising nanomaterials because of its unique combination of superb properties, which opens a way for its exploitation in a wide spectrum of applications ranging from electronics to optics, sensors, and biodevices. Inspired by recent work on Graphene of computing topological indices, here we propose new topological indices, namely, Arithmetic-Geometric index (AG1index), SK index, SK1index, and SK2index of a molecular graphGand obtain the explicit formulae of these indices for Graphene.

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Graphene is one of the most promising nanomaterial because of its unique combination of superb properties, which opens a way for its exploitation in a wide spectrum of applications ranging from electronics to optics, sensors, and bio devices. Inspired by recent work on Graphene of computing topological indices, here we compute new topological indices viz. Arithmetic-Geometric index (AG2 index), SK3 index and Sanskruti index of a molecular graph G and obtain the explicit formulae of these indices for Graphene.

Benzenoid hydrocarbons are condensed polycyclic unsaturated fully conjugated hydrocarbons composed exclusively of six membered rings. Benzenoid system may be represented by different kinds of graphs. Each hexagon of a benzenoid or coronoid system may be represented by a single vertex. In this paper, we find the values of six important degree-based topological indices of molecular graph of benzenoid hydrocarbons. Further, we show that these parameters are highly correlated with physical properties of benzenoid hydrocarbons.

Throughout this paper simple and undirected graphs are considered. Let G = (V,E) be such a graph. The structure of a chemical compound can be represented by a graph whose vertex and edge specify the atom and bonds respectively. In this paper we compute certain topological indices of silicate chain.