On the modified Wiener number

Document Type: Original Article

Author

Department of Mathematics, University of Kashan

Abstract

The Graovac-Pisanski index is defined in 1991 namely 56 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.

Graphical Abstract

On the modified Wiener number


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