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

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The Wiener index of a graph G is defined as W(G) =1/2&b.Sigma;{x,y}⊆V(G)d(x,y), where V(G) is the set of all vertices of G and for x,y &b.epsis; 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 index; Wiener matrix

Document Type: Research Article

Publication date: 01 May 2008

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  • Current Nanoscience publishes authoritative reviews and original research reports, written by experts in the field on all the most recent advances in nanoscience and nanotechnology. All aspects of the field are represented including nano- structures, synthesis, properties, assembly and devices. Applications of nanoscience in biotechnology, medicine, pharmaceuticals, physics, material science and electronics are also covered. The journal is essential to all involved in nanoscience and its applied areas.
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