Abstract
A topological index is a numeric quantity related with the chemical composition claiming to correlate the chemical structure with different chemical properties. Topological indices serve to predict physicochemical properties of chemical substance. Among different topological indices, degree-based topological indices would be helpful in investigating the anti-inflammatory activities of certain chemical networks. In the current study, we determine the neighborhood second Zagreb index and the first extended first-order connectivity index for oxide network O X n , silicate network S L n , chain silicate network C S n , and hexagonal network H X n . Also, we determine the neighborhood second Zagreb index and the first extended first-order connectivity index for honeycomb network H C n .
Highlights
Chemical graph theory/mathematical chemistry has made easier for the scientists to predict physicochemical properties of different chemical structures using topological indices
A numeric value assigned to a molecular graph is recognized as the topological index, and it remains unchanged under the isomorphism of the graph
Topological indices hold attention because they correlate well with certain chemical properties of molecular graphs. They play an important role in the quantitative structure-activity relationship (QSAR) and quantitative structure property relationship (QSPR) studies [1]
Summary
Chemical graph theory/mathematical chemistry has made easier for the scientists to predict physicochemical properties of different chemical structures using topological indices. As far as authors are aware, neighborhood second Zagreb index and the first extended first-order connectivity index of oxide network (OXn), silicate network (SLn), chain silicate network (CSn), hexagonal network (HXn), and honeycomb network (HCn) have not been investigated until now, and the study under consideration is an addition in the aforesaid direction. We use equation (2) and Table 1 to calculate the expression for 1χ1 index of the oxide networks OXn: 1χ1
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