An Algorithm for Constructing Wiener Matrix of TUC4C8(R) Nanotubes

Shahram      Yousefi; Ali   Reza   Ashrafi

doi:10.2174/157341308784340921

Abstract

The Wiener index of a graph G is defined as W(G) =1/2Σ{x,y}⊆V(G)d(x,y), where V(G) is the set of all vertices of G and for x,y Ƹ V(G), d(x,y) denotes the length of a minimal path between x and y. In this paper an algorithm for computing the Wiener matrix of a TUC4C8(R) nanotube T = T[p,q] is given. Using this matrix, an exact expression is given, for the Wiener index of T.

Keywords: TUC4C8(R) nanotube, Wiener matrix, Wiener index

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Current Nanoscience

Title: An Algorithm for Constructing Wiener Matrix of TUC4C8(R) Nanotubes

Volume: 4 Issue: 2

Author(s): Shahram Yousefi and Ali Reza Ashrafi

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Keywords: TUC4C8(R) nanotube, Wiener matrix, Wiener index

Abstract: The Wiener index of a graph G is defined as W(G) =1/2Σ{x,y}⊆V(G)d(x,y), where V(G) is the set of all vertices of G and for x,y Ƹ V(G), d(x,y) denotes the length of a minimal path between x and y. In this paper an algorithm for computing the Wiener matrix of a TUC4C8(R) nanotube T = T[p,q] is given. Using this matrix, an exact expression is given, for the Wiener index of T.

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Yousefi Shahram and Ashrafi Reza Ali, An Algorithm for Constructing Wiener Matrix of TUC4C8(R) Nanotubes, Current Nanoscience 2008; 4 (2) . https://dx.doi.org/10.2174/157341308784340921