Modified Wiener index via canonical metric representation, and some fullerene patches

Authors

  • Modjtaba Ghorbani Teacher Training University, Tehran
  • Sandi Klavžar University of Ljubljana

DOI:

https://doi.org/10.26493/1855-3974.918.0b2

Keywords:

Modified Wiener index, canonical metric representation, partial cubes, fullerene patches, nanocones

Abstract

A variation of the classical Wiener index, the modified Wiener index, that was introduced in 1991 by Graovac and Pisanski, takes into account the symmetries of a given graph. In this paper it is proved that the computation of the modified Wiener index of a graph G can be reduced to the computation of the Wiener indices of the appropriately weighted quotient graphs of the canonical metric representation of G. The computation simplifies in the case when G is a partial cube. The method developed is applied to two infinite families of fullerene patches.

Published

2015-11-30

Issue

Section

Mathematical Chemistry Issue - In Memory of Ante Graovac