Padmakar-Ivan (PI) Index of HAC₅C₇[r, p] Nanotubes

Authors: Iranmanesh, A.; Khormali, O.

Source: Journal of Computational and Theoretical Nanoscience, Volume 5, Number 1, January 2008 , pp. 131-139(9)

Publisher: American Scientific Publishers

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Abstract:

A C₅C₇ net is a trivalent decoration made by alternating C₅ and C₇. It can cover either a cylinder or a torus. In this paper, we compute Padmakar-Ivan index, abbreviated (PI) index, of HAC₅C₇[r, p] nanotube where PI index of a graph G is defined as PI(G) = Σ[n_eu(e|G)+n_ev(e|G)], where n_eu(e|G) is the number of edges of G laying closer to u than to v, n_ev(e|G is the number of edges of G laying closer to v than to u and summation goes over all edges of G.

Keywords: PADMAKAR-IVAN INDEX; HAC5C7[R; P] NANOTUBES

Document Type: Research article

DOI: http://dx.doi.org/10.1166/jctn.2008.017

Publication date: 2008-01-01

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Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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