Computing Sanskruti Index of Titania Nanotubes

Computing Sanskruti Index of Titania Nanotubes

Let [latex]G=(V;E)[/latex] be a simple connected graph. The Sanskruti index was introduced by Hosamani and defined as [latex]S(G)=\sum_{uv \in E(G)}[/latex] [latex](\frac{S_uS_v}{S_u+S_v-2})^3[/latex] where [latex]S_u[/latex] is the summation of degrees of all neighbors of vertex [latex]u[/latex] in...

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Main Authors: Muhammad Shoaib Sardar, Xiang-Feng Pan, Wei Gao, Mohammad Reza Farahani
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2017-12-01
Series:Open Journal of Mathematical Sciences
Subjects:
Topological index; Molecular graph; Sanskruti index; Titania nanotube.
Online Access:https://openmathscience.com/computing-sanskruti-index-of-titania-nanotubes/
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spelling doaj-9e24772687084e3ebc9b9653515c74c62020-11-24T21:35:22ZengPtolemy Scientific Research PressOpen Journal of Mathematical Sciences2523-02122616-49062017-12-011112613110.30538/oms2017.0012Computing Sanskruti Index of Titania NanotubesMuhammad Shoaib Sardar0Xiang-Feng Pan1Wei Gao2Mohammad Reza Farahani 3School of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Information and Technology, Yunnan Normal University, Kunming, 650500, ChinaDepartment of Applied Mathematics, Iran University of Science and Technology(IUST), Narmak, Tehran 16844, IranLet [latex]G=(V;E)[/latex] be a simple connected graph. The Sanskruti index was introduced by Hosamani and defined as [latex]S(G)=\sum_{uv \in E(G)}[/latex] [latex](\frac{S_uS_v}{S_u+S_v-2})^3[/latex] where [latex]S_u[/latex] is the summation of degrees of all neighbors of vertex [latex]u[/latex] in [latex]G[/latex]. In this paper, we give explicit formulas for the Sanskruti index of an infinite class of Titania nanotubes [latex]TiO_2[m, n][/latex].https://openmathscience.com/computing-sanskruti-index-of-titania-nanotubes/Topological index; Molecular graph; Sanskruti index; Titania nanotube.
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Shoaib Sardar
Xiang-Feng Pan
Wei Gao
Mohammad Reza Farahani
spellingShingle Muhammad Shoaib Sardar
Xiang-Feng Pan
Wei Gao
Mohammad Reza Farahani
Computing Sanskruti Index of Titania Nanotubes
Open Journal of Mathematical Sciences
Topological index; Molecular graph; Sanskruti index; Titania nanotube.
author_facet Muhammad Shoaib Sardar
Xiang-Feng Pan
Wei Gao
Mohammad Reza Farahani
author_sort Muhammad Shoaib Sardar
title Computing Sanskruti Index of Titania Nanotubes
title_short Computing Sanskruti Index of Titania Nanotubes
title_full Computing Sanskruti Index of Titania Nanotubes
title_fullStr Computing Sanskruti Index of Titania Nanotubes
title_full_unstemmed Computing Sanskruti Index of Titania Nanotubes
title_sort computing sanskruti index of titania nanotubes
publisher Ptolemy Scientific Research Press
series Open Journal of Mathematical Sciences
issn 2523-0212
2616-4906
publishDate 2017-12-01
description Let [latex]G=(V;E)[/latex] be a simple connected graph. The Sanskruti index was introduced by Hosamani and defined as [latex]S(G)=\sum_{uv \in E(G)}[/latex] [latex](\frac{S_uS_v}{S_u+S_v-2})^3[/latex] where [latex]S_u[/latex] is the summation of degrees of all neighbors of vertex [latex]u[/latex] in [latex]G[/latex]. In this paper, we give explicit formulas for the Sanskruti index of an infinite class of Titania nanotubes [latex]TiO_2[m, n][/latex].
topic Topological index; Molecular graph; Sanskruti index; Titania nanotube.
url https://openmathscience.com/computing-sanskruti-index-of-titania-nanotubes/
work_keys_str_mv AT muhammadshoaibsardar computingsanskrutiindexoftitaniananotubes
AT xiangfengpan computingsanskrutiindexoftitaniananotubes
AT weigao computingsanskrutiindexoftitaniananotubes
AT mohammadrezafarahani computingsanskrutiindexoftitaniananotubes
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