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

Modjtaba Ghorbani, Sandi Klavžar


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.


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

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ISSN: 1855-3974

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