Title
Modified Wiener index via canonical metric representation, and some fullerene patches
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.
Year
DOI
Venue
2016
10.26493/1855-3974.918.0b2
ARS MATHEMATICA CONTEMPORANEA
Keywords
Field
DocType
modified Wiener index,canonical metric representation,partial cubes,fullerene patches,nanocones
Integral representation theorem for classical Wiener space,Topology,Graph,Combinatorics,Wiener index,Quotient,Classical Wiener space,Fullerene,Homogeneous space,Mathematics,Computation
Journal
Volume
Issue
ISSN
11
2
1855-3966
Citations 
PageRank 
References 
2
0.46
3
Authors
2
Name
Order
Citations
PageRank
Modjtaba Ghorbani188.93
Sandi Klavžar273884.46