On the First Three Extremum Values of Variable Sum Exdeg Index of Trees

On the First Three Extremum Values of Variable Sum Exdeg Index of Trees

For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determin...

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Main Authors: Shu-Bo Chen, Syed Sheraz Asghar, Muhammad Ahsan Binyamin, Zahid Iqbal, Tayyeb Mahmood, Adnan Aslam
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6491886
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spelling doaj-b560a37c03584d92833042f3931097a02021-05-24T00:15:28ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/6491886On the First Three Extremum Values of Variable Sum Exdeg Index of TreesShu-Bo Chen0Syed Sheraz Asghar1Muhammad Ahsan Binyamin2Zahid Iqbal3Tayyeb Mahmood4Adnan Aslam5School of ScienceDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Electrical EngineeringDepartment of Natural Sciences and HumanitiesFor a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determine all the trees of order n with given diameter d and having first three largest values of the SEIa index.http://dx.doi.org/10.1155/2021/6491886
collection DOAJ
language English
format Article
sources DOAJ
author Shu-Bo Chen
Syed Sheraz Asghar
Muhammad Ahsan Binyamin
Zahid Iqbal
Tayyeb Mahmood
Adnan Aslam
spellingShingle Shu-Bo Chen
Syed Sheraz Asghar
Muhammad Ahsan Binyamin
Zahid Iqbal
Tayyeb Mahmood
Adnan Aslam
On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
Complexity
author_facet Shu-Bo Chen
Syed Sheraz Asghar
Muhammad Ahsan Binyamin
Zahid Iqbal
Tayyeb Mahmood
Adnan Aslam
author_sort Shu-Bo Chen
title On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
title_short On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
title_full On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
title_fullStr On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
title_full_unstemmed On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
title_sort on the first three extremum values of variable sum exdeg index of trees
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determine all the trees of order n with given diameter d and having first three largest values of the SEIa index.
url http://dx.doi.org/10.1155/2021/6491886
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AT zahidiqbal onthefirstthreeextremumvaluesofvariablesumexdegindexoftrees
AT tayyebmahmood onthefirstthreeextremumvaluesofvariablesumexdegindexoftrees
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