New Results on the Geometric-Arithmetic Index

New Results on the Geometric-Arithmetic Index

Let G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv. In this paper, we obtain some new lower and upper bounds for the geometric-arithmetic index and improve some known bounds. Moreover,...

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Main Authors: Akbar Jahanbani, Maryam Atapour, Zhibin Du
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/4901484
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spelling doaj-0a4074a3e07544928de41cb4b2331f792021-08-09T00:00:39ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/4901484New Results on the Geometric-Arithmetic IndexAkbar Jahanbani0Maryam Atapour1Zhibin Du2Department of MathematicsDepartment of Mathematics and Computer ScienceSchool of SoftwareLet G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv. In this paper, we obtain some new lower and upper bounds for the geometric-arithmetic index and improve some known bounds. Moreover, we investigate the relationships between geometric-arithmetic index and several other topological indices.http://dx.doi.org/10.1155/2021/4901484
collection DOAJ
language English
format Article
sources DOAJ
author Akbar Jahanbani
Maryam Atapour
Zhibin Du
spellingShingle Akbar Jahanbani
Maryam Atapour
Zhibin Du
New Results on the Geometric-Arithmetic Index
Journal of Mathematics
author_facet Akbar Jahanbani
Maryam Atapour
Zhibin Du
author_sort Akbar Jahanbani
title New Results on the Geometric-Arithmetic Index
title_short New Results on the Geometric-Arithmetic Index
title_full New Results on the Geometric-Arithmetic Index
title_fullStr New Results on the Geometric-Arithmetic Index
title_full_unstemmed New Results on the Geometric-Arithmetic Index
title_sort new results on the geometric-arithmetic index
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description Let G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv. In this paper, we obtain some new lower and upper bounds for the geometric-arithmetic index and improve some known bounds. Moreover, we investigate the relationships between geometric-arithmetic index and several other topological indices.
url http://dx.doi.org/10.1155/2021/4901484
work_keys_str_mv AT akbarjahanbani newresultsonthegeometricarithmeticindex
AT maryamatapour newresultsonthegeometricarithmeticindex
AT zhibindu newresultsonthegeometricarithmeticindex
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