The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus

Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartes...

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Main Authors: Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/4269325
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author Mohammed Alsharafi
Abdu Alameri
Yusuf Zeren
Mahioub Shubatah
Anwar Alwardi
author_facet Mohammed Alsharafi
Abdu Alameri
Yusuf Zeren
Mahioub Shubatah
Anwar Alwardi
author_sort Mohammed Alsharafi
collection DOAJ
description Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. Moreover, the Y-polynomial of titania nanotubes and the formulae for the Y-index, Y-polynomial, F-index, F-polynomial, and Y-coindex of the HAC5C7q,p and HAC5C6C7q,p nanotubes and their molecular complement graphs have been investigated.
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institution Kabale University
issn 2314-4785
language English
publishDate 2024-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-a4fe18537cb24977a3a3ff10f7a80d572025-02-03T05:57:04ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4269325The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and NanotorusMohammed Alsharafi0Abdu Alameri1Yusuf Zeren2Mahioub Shubatah3Anwar Alwardi4Department of MathematicsDepartment of Biomedical EngineeringDepartment of MathematicsDepartment of Studies in MathematicsDepartment of MathematicsTopological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. Moreover, the Y-polynomial of titania nanotubes and the formulae for the Y-index, Y-polynomial, F-index, F-polynomial, and Y-coindex of the HAC5C7q,p and HAC5C6C7q,p nanotubes and their molecular complement graphs have been investigated.http://dx.doi.org/10.1155/2024/4269325
spellingShingle Mohammed Alsharafi
Abdu Alameri
Yusuf Zeren
Mahioub Shubatah
Anwar Alwardi
The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
Journal of Mathematics
title The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
title_full The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
title_fullStr The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
title_full_unstemmed The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
title_short The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
title_sort y index of some complement graph structures and their applications of nanotubes and nanotorus
url http://dx.doi.org/10.1155/2024/4269325
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