On some degree-based topological indices of line graphs of TiO2[m, n] nanotubes

Yuhong Huo; Jia Bao Liu; Muhammad Imran; Muhammad Saeed; Mohammad Reza Farahani; Muhammad Azhar Iqbal; Mehar Ali Malik

doi:10.1166/jctn.2016.6292

On some degree-based topological indices of line graphs of TiO₂[m, n] nanotubes

Yuhong Huo, Jia Bao Liu, Muhammad Imran, Muhammad Saeed, Mohammad Reza Farahani, Muhammad Azhar Iqbal, Mehar Ali Malik

Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

Two well-known connectivity topological indices are the atom-bond connectivity index and the geometric-arithmetic index, introduced by Estrada et al. and Vukicevic et al. respectively. In this paper, we calculate the closed expression for the first and fourth version of atom-bond connectivity index and the first and fifth version of geometric-arithmetic index of the line graph of single walled titania nanotubes TiO₂[m, n].

Original language	English
Pages (from-to)	9131-9135
Number of pages	5
Journal	Journal of Computational and Theoretical Nanoscience
Volume	13
Issue number	12
DOIs	https://doi.org/10.1166/jctn.2016.6292
Publication status	Published - 2016

Keywords

Atom-bond connectivity index
Geometric-arithmetic index
Titania nanotubes

ASJC Scopus subject areas

Chemistry(all)
Materials Science(all)
Condensed Matter Physics
Computational Mathematics
Electrical and Electronic Engineering

Access to Document

10.1166/jctn.2016.6292

Cite this

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title = "On some degree-based topological indices of line graphs of TiO2[m, n] nanotubes",

abstract = "Two well-known connectivity topological indices are the atom-bond connectivity index and the geometric-arithmetic index, introduced by Estrada et al. and Vukicevic et al. respectively. In this paper, we calculate the closed expression for the first and fourth version of atom-bond connectivity index and the first and fifth version of geometric-arithmetic index of the line graph of single walled titania nanotubes TiO2[m, n].",

keywords = "Atom-bond connectivity index, Geometric-arithmetic index, Titania nanotubes",

author = "Yuhong Huo and Liu, {Jia Bao} and Muhammad Imran and Muhammad Saeed and Farahani, {Mohammad Reza} and Iqbal, {Muhammad Azhar} and Malik, {Mehar Ali}",

note = "Funding Information: This research is partially supported by National University of Sciences and Technology, Islamabad, Pakistan and by the Higher Education Commission of Pakistan via grant no. 20-3067/NRPU/R&D/HEC/12/831, and by the Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (Grant Nos. KJ2015A178, KJ2015A331), and by the teaching research project of Anhui Province(Grant Nos. jyxm303). Publisher Copyright: Copyright {\textcopyright} 2016 American Scientific Publishers All rights reserved.",

year = "2016",

doi = "10.1166/jctn.2016.6292",

language = "English",

volume = "13",

pages = "9131--9135",

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T1 - On some degree-based topological indices of line graphs of TiO2[m, n] nanotubes

AU - Huo, Yuhong

AU - Liu, Jia Bao

AU - Imran, Muhammad

AU - Saeed, Muhammad

AU - Farahani, Mohammad Reza

AU - Iqbal, Muhammad Azhar

AU - Malik, Mehar Ali

N1 - Funding Information: This research is partially supported by National University of Sciences and Technology, Islamabad, Pakistan and by the Higher Education Commission of Pakistan via grant no. 20-3067/NRPU/R&D/HEC/12/831, and by the Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (Grant Nos. KJ2015A178, KJ2015A331), and by the teaching research project of Anhui Province(Grant Nos. jyxm303). Publisher Copyright: Copyright © 2016 American Scientific Publishers All rights reserved.

PY - 2016

Y1 - 2016

N2 - Two well-known connectivity topological indices are the atom-bond connectivity index and the geometric-arithmetic index, introduced by Estrada et al. and Vukicevic et al. respectively. In this paper, we calculate the closed expression for the first and fourth version of atom-bond connectivity index and the first and fifth version of geometric-arithmetic index of the line graph of single walled titania nanotubes TiO2[m, n].

AB - Two well-known connectivity topological indices are the atom-bond connectivity index and the geometric-arithmetic index, introduced by Estrada et al. and Vukicevic et al. respectively. In this paper, we calculate the closed expression for the first and fourth version of atom-bond connectivity index and the first and fifth version of geometric-arithmetic index of the line graph of single walled titania nanotubes TiO2[m, n].

KW - Atom-bond connectivity index

KW - Geometric-arithmetic index

KW - Titania nanotubes

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