The Calculations of Topological Indices on Certain Networks

It is one of the core problems in the study of chemical graph theory to study the topological index of molecular graph and the internal relationship between its structural properties and some invariants. In recent years, topological index has been gradually applied to the models of QSAR and QSPR. In...

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Main Authors: Jia-Bao Liu, Ting Zhang, Sakander Hayat
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6694394
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author Jia-Bao Liu
Ting Zhang
Sakander Hayat
author_facet Jia-Bao Liu
Ting Zhang
Sakander Hayat
author_sort Jia-Bao Liu
collection DOAJ
description It is one of the core problems in the study of chemical graph theory to study the topological index of molecular graph and the internal relationship between its structural properties and some invariants. In recent years, topological index has been gradually applied to the models of QSAR and QSPR. In this work, using the definition of the ABC index, AZI index, GA index, the multiplicative version of ordinary first Zagreb index, the second multiplicative Zagreb index, and Zagreb index, we calculate the degree-based topological indices of some networks. Then, the above indices’ formulas are obtained.
format Article
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institution Kabale University
issn 2314-4629
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-32c99ce4c53e4c558aa65c82ff46a8c42025-08-20T03:55:22ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66943946694394The Calculations of Topological Indices on Certain NetworksJia-Bao Liu0Ting Zhang1Sakander Hayat2School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaFaculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi Swabi, Khyber Pakhtunkhwa, PakistanIt is one of the core problems in the study of chemical graph theory to study the topological index of molecular graph and the internal relationship between its structural properties and some invariants. In recent years, topological index has been gradually applied to the models of QSAR and QSPR. In this work, using the definition of the ABC index, AZI index, GA index, the multiplicative version of ordinary first Zagreb index, the second multiplicative Zagreb index, and Zagreb index, we calculate the degree-based topological indices of some networks. Then, the above indices’ formulas are obtained.http://dx.doi.org/10.1155/2021/6694394
spellingShingle Jia-Bao Liu
Ting Zhang
Sakander Hayat
The Calculations of Topological Indices on Certain Networks
Journal of Mathematics
title The Calculations of Topological Indices on Certain Networks
title_full The Calculations of Topological Indices on Certain Networks
title_fullStr The Calculations of Topological Indices on Certain Networks
title_full_unstemmed The Calculations of Topological Indices on Certain Networks
title_short The Calculations of Topological Indices on Certain Networks
title_sort calculations of topological indices on certain networks
url http://dx.doi.org/10.1155/2021/6694394
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