DD’s new formula of the dendrimer’s tree using the vertices’ pairs number

Abstract

The topological indices are widely used for describing the chemical structure of molecules, the chemical reaction networks, the World Wide Web, financial markets, ecosystems, social networks, establishing relationships between structure and properties of molecules, predicting biological activity of chemical compounds, and making other chemical applications. In [2] a new formula to calculate the degree distance index using the d_G^u(k) is proved. In is paper we are going to calculate the degree distance index of the Dendrimer’s tree via d_G^u(k) (vertices’ pairs number of G that are at distance k from u).