Computing Chemical Properties of Molecules by Graphs and Rank Polynomials

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.