Computing the Narumi-Katayama indices and its modified version of some nanostar dendrimers

Dendrimers are the highly branched organic macromolecules with successive layers or generations of branch units surrounding a central core. In mathematical chemistry, a particular attention has been given to degree-based graph invariant. The Narumi-Katayama index and its modified version of a graph G, denoted by NK(G) and NK*(G) are equal to the product of the degrees of the vertices of G. In this work we calculated the Narumi-Katayama Indices and its Modified version for some families of dendrimers such as NS1[n], NS2[n] and NS3[n]. The exact formulas of the Narumi-Katayama and Modified Narumi-Katayama indices of these dendrimers nano structures are presented in this paper.