The PI and Edge Szeged Indices of One-Heptagonal Carbon Nanocones

Authors: Ashrafi, Ali R.; Gholami-Nezhaad, Farzaneh

Source: Current Nanoscience, Volume 5, Number 1, February 2009 , pp. 51-53(3)

Publisher: Bentham Science Publishers

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Abstract:

The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Σ[mu(e)+ mv(e)], where mu(e) is the number of edges of G lying closer to u than to v, mv(e) is the number of edges of G lying closer to v than to u and summation goes over all edges of G. The edge Szeged index is a new molecular structure descriptor equal to the sum of products mu(e)mv(e) over all edges e = uv of the molecular graph G. In this paper, the PI and edge Szeged indices of one-heptagonal carbon nanocone CNC7[n] computed for the first time.

Keywords: One pentagonal carbon nanocone; PI index; edge Szeged index

Document Type: Research article

Publication date: 2009-02-01

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