On Wiener Index of One-Heptagonal Nanocone

Ali      Reza Ashrafi; Zohreh      Mohammad-Abadi

doi:10.2174/157341312799362313

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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Current Nanoscience

Title: On Wiener Index of One-Heptagonal Nanocone

Volume: 8 Issue: 1

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

Affiliation:

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

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.

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Reza Ashrafi Ali and Mohammad-Abadi Zohreh, On Wiener Index of One-Heptagonal Nanocone, Current Nanoscience 2012; 8 (1) . https://dx.doi.org/10.2174/157341312799362313