On the modified Wiener number

The Graovac-Pisanski index is defined in ۱۹۹۱ namely ۵۶ years after the definition of Wiener index by Graovac and Pisanski. They called it as modified Wiener index based on the sum of distances between all the pairs α(u,α(u)) where α stands in the automorphism group of given graph. In this paper, we compute the Graovac-Pisanski index of some classes of graphs.