Wiener Index Calculation on the Benzenoid System: A Review Article

The Weiner index is considered one of the basic descriptors of fixed interconnection networks because it provides the average distance between any two nodes of the network. Many methods have been used by researchers to calculate the value of the Wiener index. starting from the brute force method to...

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Main Authors: Dwindi Agryanti Johar, Asep Kuswandi Supriatna, Ema Carnia
Format: Article
Language:Indonesian
Published: Department of Mathematics, FMIPA, Universitas Padjadjaran 2023-06-01
Series:Jurnal Matematika Integratif
Online Access:https://jurnal.unpad.ac.id/jmi/article/view/44487
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author Dwindi Agryanti Johar
Asep Kuswandi Supriatna
Ema Carnia
author_facet Dwindi Agryanti Johar
Asep Kuswandi Supriatna
Ema Carnia
author_sort Dwindi Agryanti Johar
collection DOAJ
description The Weiner index is considered one of the basic descriptors of fixed interconnection networks because it provides the average distance between any two nodes of the network. Many methods have been used by researchers to calculate the value of the Wiener index. starting from the brute force method to the invention of an algorithm to calculate the Wiener index without calculating the distance matrix. The application of the Wiener index is found in the molecular structure of organic compounds, especially the benzenoid system. The value of the Wiener index of a molecule is closely related to its physical and chemical properties. This paper will show a comprehensive bibliometric survey of peer-reviewed articles referring to the Wiener index of benzenoid. The Wiener index values of several benzenoid compounds using cubic polynomial are also reported. The Wiener index of benzenoid supports much of the research and provides productive citations for citing the study.   Keywords: Wiener index, benzenoid, distance matrix, chemical properties, cubic polynomial, topological.
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spelling doaj.art-a6981235f2504cb3ad7ceebeaba2a13f2024-04-03T04:16:23ZindDepartment of Mathematics, FMIPA, Universitas PadjadjaranJurnal Matematika Integratif1412-61842549-90332023-06-01191132810.24198/jmi.v19.n1.44487.13-2818301Wiener Index Calculation on the Benzenoid System: A Review ArticleDwindi Agryanti Johar0Asep Kuswandi SupriatnaEma CarniaUniversitas PadjadjaranThe Weiner index is considered one of the basic descriptors of fixed interconnection networks because it provides the average distance between any two nodes of the network. Many methods have been used by researchers to calculate the value of the Wiener index. starting from the brute force method to the invention of an algorithm to calculate the Wiener index without calculating the distance matrix. The application of the Wiener index is found in the molecular structure of organic compounds, especially the benzenoid system. The value of the Wiener index of a molecule is closely related to its physical and chemical properties. This paper will show a comprehensive bibliometric survey of peer-reviewed articles referring to the Wiener index of benzenoid. The Wiener index values of several benzenoid compounds using cubic polynomial are also reported. The Wiener index of benzenoid supports much of the research and provides productive citations for citing the study.   Keywords: Wiener index, benzenoid, distance matrix, chemical properties, cubic polynomial, topological.https://jurnal.unpad.ac.id/jmi/article/view/44487
spellingShingle Dwindi Agryanti Johar
Asep Kuswandi Supriatna
Ema Carnia
Wiener Index Calculation on the Benzenoid System: A Review Article
Jurnal Matematika Integratif
title Wiener Index Calculation on the Benzenoid System: A Review Article
title_full Wiener Index Calculation on the Benzenoid System: A Review Article
title_fullStr Wiener Index Calculation on the Benzenoid System: A Review Article
title_full_unstemmed Wiener Index Calculation on the Benzenoid System: A Review Article
title_short Wiener Index Calculation on the Benzenoid System: A Review Article
title_sort wiener index calculation on the benzenoid system a review article
url https://jurnal.unpad.ac.id/jmi/article/view/44487
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