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Current Nanoscience

Editor-in-Chief

ISSN (Print): 1573-4137
ISSN (Online): 1875-6786

On Wiener Index of One-Heptagonal Nanocone

Author(s): Ali Reza Ashrafi and Zohreh Mohammad-Abadi

Volume 8, Issue 1, 2012

Page: [180 - 185] Pages: 6

DOI: 10.2174/157341312799362313

Price: $65

Abstract

The Wiener index of a molecular graph G is defined as the summation of topological distances between all pair of atoms in G. In this paper an algorithm by Sandi Klavzar [European J. Combin. 2006, 27, 68 – 73] is applied to calculate the Wiener index of one-heptagonal nanocone L[n]. It is proved that W(L[n]) = (238/5)n5 + (238)n4 + (2821/6)n3 + (917/2)n2 + (3311/15)n + 42.

Keywords: Carbon nanocone, Djokovic-Winkler relation, molecular graph, one-heptagonal nanocone, topological index, Wiener index.


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