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On the fourth atom-bond connectivity index of nanocones

E. ASLAN1,*

Affiliation

  1. Turgutlu Vocational Training School, Celal Bayar University, Turgutlu-Manisa, Turkey

Abstract

Atom bond connectivity index is a topological index was defined as 𝐴𝐵𝐶(𝐺)=Σ√𝑑(𝑢)+𝑑(𝑣)−2𝑑(𝑢)𝑑(𝑣)𝑈𝑉∈𝐸(𝐺) where d(v) denotes the degree of vertex v of G. Recently, M. Ghorbani et al. introduced a new version of atom-bond connectivity (ABC4) index as 𝐴𝐵𝐶4(𝐺)=Σ√𝑆(𝑢)+𝑆(𝑣)−2𝑆(𝑢)𝑆(𝑣)𝑈𝑉∈𝐸(𝐺) where 𝑆𝑢=Σ𝑑𝑣𝑣∈𝑁𝐺(𝑢) and 𝑁𝐺(𝑢)={𝑣∈𝑉(𝐺)|𝑢𝑣 ∈𝐸(𝐺)}. In this paper we compute the fourth atom-bond connectivity index for nanocones..

Keywords

Atom bond connectivity index, Nanocone, Topological index, Graph theory.

Citation

E. ASLAN, On the fourth atom-bond connectivity index of nanocones, Optoelectronics and Advanced Materials - Rapid Communications, 9, 3-4, March-April 2015, pp.525-527 (2015).

Submitted at: Dec. 23, 2014

Accepted at: March 19, 2015