On the edges version of atom-bond connectivity and geometric arithmetic indices of nanocones CNCκ[n]

Wei Gao; Mohamad Nazri Husin; Mohammad Reza Farahani; Muhammad Imran

doi:10.1166/jctn.2016.5622

On the edges version of atom-bond connectivity and geometric arithmetic indices of nanocones CNCκ[n]

Wei Gao
, Mohamad Nazri Husin
, Mohammad Reza Farahani
, Muhammad Imran

Department of Mathematical Sciences

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

22 Citations (Scopus)

Abstract

The edge version of atom-bond connectivity (ABC_e) and geometric arithmetic (GA_e) indices of G are defined as ∑ ef∈E(L(G))√(d_L(G)(e)+d_L(G)(f),-2)/(d_L(G)(e)×d_L(G)(f )) and GA_e(G) = ∑ ef∈E(L(G))(2 √ d_L(G)(e)d_L(G)(f ))/(d_L(G)(e)+d_L(G)(f )), where d_L(G)(e) denotes the degrees of an edge e, respectively. The goal of this paper is to further the study of the ABCe and GAe indices for these conical graphite.

Original language	English
Pages (from-to)	6741-6746
Number of pages	6
Journal	Journal of Computational and Theoretical Nanoscience
Volume	13
Issue number	10
DOIs	https://doi.org/10.1166/jctn.2016.5622
Publication status	Published - 2016

Keywords

Atom-bond connectivity index
CNCκ[n]
Geometric arithmetic index
Line graph

ASJC Scopus subject areas

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

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10.1166/jctn.2016.5622

Cite this

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title = "On the edges version of atom-bond connectivity and geometric arithmetic indices of nanocones CNCκ[n]",

abstract = "The edge version of atom-bond connectivity (ABCe) and geometric arithmetic (GAe) indices of G are defined as ∑ ef∈E(L(G))√(dL(G)(e)+dL(G)(f),-2)/(dL(G)(e)×dL(G)(f )) and GAe(G) = ∑ ef∈E(L(G))(2 √ dL(G)(e)dL(G)(f ))/(dL(G)(e)+dL(G)(f )), where dL(G)(e) denotes the degrees of an edge e, respectively. The goal of this paper is to further the study of the ABCe and GAe indices for these conical graphite.",

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language = "English",

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T1 - On the edges version of atom-bond connectivity and geometric arithmetic indices of nanocones CNCκ[n]

AU - Gao, Wei

AU - Husin, Mohamad Nazri

AU - Farahani, Mohammad Reza

AU - Imran, Muhammad

PY - 2016

Y1 - 2016

N2 - The edge version of atom-bond connectivity (ABCe) and geometric arithmetic (GAe) indices of G are defined as ∑ ef∈E(L(G))√(dL(G)(e)+dL(G)(f),-2)/(dL(G)(e)×dL(G)(f )) and GAe(G) = ∑ ef∈E(L(G))(2 √ dL(G)(e)dL(G)(f ))/(dL(G)(e)+dL(G)(f )), where dL(G)(e) denotes the degrees of an edge e, respectively. The goal of this paper is to further the study of the ABCe and GAe indices for these conical graphite.

AB - The edge version of atom-bond connectivity (ABCe) and geometric arithmetic (GAe) indices of G are defined as ∑ ef∈E(L(G))√(dL(G)(e)+dL(G)(f),-2)/(dL(G)(e)×dL(G)(f )) and GAe(G) = ∑ ef∈E(L(G))(2 √ dL(G)(e)dL(G)(f ))/(dL(G)(e)+dL(G)(f )), where dL(G)(e) denotes the degrees of an edge e, respectively. The goal of this paper is to further the study of the ABCe and GAe indices for these conical graphite.

KW - Atom-bond connectivity index

KW - CNCκ[n]

KW - Geometric arithmetic index

KW - Line graph

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U2 - 10.1166/jctn.2016.5622

DO - 10.1166/jctn.2016.5622

M3 - Article

AN - SCOPUS:85013625776

SN - 1546-1955

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JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

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ER -

On the edges version of atom-bond connectivity and geometric arithmetic indices of nanocones CNCκ[n]

Abstract

Keywords

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