University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 3 Supplement 1 2012 12 01 Computing Chemical Properties of Molecules by Graphs and Rank Polynomials 59 65 5276 10.22052/ijmc.2012.5276 EN M. MOGHARRAB Persian Gulf University, I.R. Iran G. H. FATH-TABAR University of Kashan, I. R. Iran Journal Article 2014 05 04 The topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. The Tutte polynomial of 􀜩 is a polynomial in two variables defined for every undirected graph contains information about connectivity of the graph. The Padmakar-Ivan, vertex Padmakar-Ivan polynomials of a graph 􀜩 are polynomials in one variable defined for every simple connected graphs that are undirected. In this paper, we compute these polynomials of two infinite classes of dendrimer nanostars. https://ijmc.kashanu.ac.ir/article_5276_79a271992b7bcfde9d597fe6eba83405.pdf