Computing Chemical Properties of Molecules by Graphs and Rank Polynomials

Document Type: Research Paper


1 Persian Gulf University, I.R. Iran

2 University of Kashan, I. R. Iran


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.