Sami Publishing Company (SPC)Eurasian Chemical Communications2717-05352720200701Computing the Narumi-Katayama indices and its modified version of some nanostar dendrimers77177510594210.33945/SAMI/ECC.2020.7.4ENIslamGoli FarkoushDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran,MehdiAlaeiyanDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.0000-0003-2185-5967MohammadMaghasediDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran,0000-0002-1110-8629Journal Article20200201Dendrimers 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<sup>*</sup>(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 <em>NS<sub>1</sub>[n], NS<sub>2</sub>[n]</em> and <em>NS<sub>3</sub>[n]. </em>The exact formulas of the Narumi-Katayama and Modified Narumi-Katayama indices of these dendrimers nano structures are presented in this paper.http://www.echemcom.com/article_105942_c67ad800daa09fa3f2853015ce3f6565.pdf