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- W89960651 abstract "Let G be a molecular graph, the vertex and edge-sets of which are represented by V(G) and E(G), respectively. A topological index of G is a real number related to the molecular graph of G. It must be a structural invariant, i.e., it does not depend on the labelling or the pictorial representation of the graph. The Wiener index W is the first topological index proposed to be used in chemistry . It was introduced in 1947 by Harold Wiener for characterization of alkanes. This index is defined as the sum of all distances between distinct vertices. The vertex PI index is a new topological index proposed by the present authors 5-8. It is defined by PIv(G) = ∑e=uv∈E(G)[nu(e) + nv(e)], where nu(e) is the number of vertices of G lying closer to u and nv(e) is the number of vertices of G lying closer to v. In Refs [9-13] the PI and Szeged indices of some hexagonal graphs containing nanotubes and nanotorus are computed. In this paper, we continue this work to compute the vertex PI index of molecular graphs related to V-phenylenic nanotubes and nanotori. Our notation is standard and mainly taken from Refs [14, 15]." @default.
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- W89960651 date "2009-01-01" @default.
- W89960651 modified "2023-09-27" @default.
- W89960651 title "VERTEX PI INDEX OF V- PHENYLENIC NANOTUBES AND NANOTORI" @default.
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