Certain topological indices of Titania carbon nanotubes TiO2 (m,n)

Wei Gao; Muhammad Kamran Jamil; Mohammad Reza Farahani; Muhammad Imran

doi:10.1166/jctn.2016.5719

Certain topological indices of Titania carbon nanotubes TiO₂ (m,n)

Wei Gao, Muhammad Kamran Jamil, Mohammad Reza Farahani, Muhammad Imran

Research output: Contribution to journal › Article › peer-review

Abstract

Let G (V,E) be a simple graph. Then for an edge e = uv ∈ E(G), nu is the number of vertices lying closer to v than u, nv is analogously. The second geometric-arithmetic index and second atom-bond-connectivity indices are defined as GA₂(G) =Σ_uvϵE(G)(2 √ n_un_v)/(n_u +n_v) and ABC₂ =Σ uvϵE(G)√(n_u +n_v -2)/(n_un_v), respectively. In this paper, we compute the second versions of geometric arithmetic and atom bond connectivity indices of Titania carbon Nanotubes TiO₂(m,n).

Original language	English
Pages (from-to)	7324-7328
Number of pages	5
Journal	Journal of Computational and Theoretical Nanoscience
Volume	13
Issue number	10
DOIs	https://doi.org/10.1166/jctn.2016.5719
Publication status	Published - 2016
Externally published	Yes

Keywords

Atom bon connectivity index
Geometric arithmetic index
Titania carbon nanotubes

ASJC Scopus subject areas

General Chemistry
General Materials Science
Condensed Matter Physics
Computational Mathematics
Electrical and Electronic Engineering

Access to Document

10.1166/jctn.2016.5719

Cite this

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abstract = "Let G (V,E) be a simple graph. Then for an edge e = uv ∈ E(G), nu is the number of vertices lying closer to v than u, nv is analogously. The second geometric-arithmetic index and second atom-bond-connectivity indices are defined as GA2(G) =ΣuvϵE(G)(2 √ nunv)/(nu +nv) and ABC2 =Σ uvϵE(G)√(nu +nv -2)/(nunv), respectively. In this paper, we compute the second versions of geometric arithmetic and atom bond connectivity indices of Titania carbon Nanotubes TiO2(m,n).",

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T1 - Certain topological indices of Titania carbon nanotubes TiO2 (m,n)

AU - Gao, Wei

AU - Jamil, Muhammad Kamran

AU - Farahani, Mohammad Reza

AU - Imran, Muhammad

PY - 2016

Y1 - 2016

N2 - Let G (V,E) be a simple graph. Then for an edge e = uv ∈ E(G), nu is the number of vertices lying closer to v than u, nv is analogously. The second geometric-arithmetic index and second atom-bond-connectivity indices are defined as GA2(G) =ΣuvϵE(G)(2 √ nunv)/(nu +nv) and ABC2 =Σ uvϵE(G)√(nu +nv -2)/(nunv), respectively. In this paper, we compute the second versions of geometric arithmetic and atom bond connectivity indices of Titania carbon Nanotubes TiO2(m,n).

AB - Let G (V,E) be a simple graph. Then for an edge e = uv ∈ E(G), nu is the number of vertices lying closer to v than u, nv is analogously. The second geometric-arithmetic index and second atom-bond-connectivity indices are defined as GA2(G) =ΣuvϵE(G)(2 √ nunv)/(nu +nv) and ABC2 =Σ uvϵE(G)√(nu +nv -2)/(nunv), respectively. In this paper, we compute the second versions of geometric arithmetic and atom bond connectivity indices of Titania carbon Nanotubes TiO2(m,n).

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KW - Geometric arithmetic index

KW - Titania carbon nanotubes

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