Study of IPR Fullerenes by PI index

چکیده مقاله

The PI index is a Wiener-Szeged-like topological index developed recently. The PI index of a graph G is the sum over all edges uv of G of number of edges which are not equidistant to u and v. In some earlier papers it is proved that this topological index correlates some chemico-physical properties of molecules. In this paper, we generalized our earlier results for computing PI index of fullerenes. We conjecture that the PI index of fullerenes is a polynomial of degree 2 in terms of the number of carbon atoms.