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

Author(s): Ali Reza Ashrafi, Farzaneh Gholami-Nezhaad.

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

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Article Details

VOLUME: 5
ISSUE: 1
Year: 2009
Page: [51 - 53]
Pages: 3
DOI: 10.2174/157341309787314629