Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs

A connected graph GV,E in which the number of edges is one more than its number of vertices is called a bicyclic graph. A perfect matching of a graph is a matching in which every vertex of the graph is incident to exactly one edge of the matching set such that the number of vertices is two times its...

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Main Authors: Muhammad Rizwan, Akhlaq Ahmad Bhatti, Muhammad Javaid, Ebenezer Bonyah
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2021/4272208
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author Muhammad Rizwan
Akhlaq Ahmad Bhatti
Muhammad Javaid
Ebenezer Bonyah
author_facet Muhammad Rizwan
Akhlaq Ahmad Bhatti
Muhammad Javaid
Ebenezer Bonyah
author_sort Muhammad Rizwan
collection DOAJ
description A connected graph GV,E in which the number of edges is one more than its number of vertices is called a bicyclic graph. A perfect matching of a graph is a matching in which every vertex of the graph is incident to exactly one edge of the matching set such that the number of vertices is two times its matching number. In this paper, we investigated maximum and minimum values of variable sum exdeg index, SEIa for bicyclic graphs with perfect matching for k≥5and a>1.
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institution Kabale University
issn 2090-9071
language English
publishDate 2021-01-01
publisher Wiley
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series Journal of Chemistry
spelling doaj-art-f145a76941b545b1ac582f7d5160f21b2025-02-03T05:43:35ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/4272208Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic GraphsMuhammad Rizwan0Akhlaq Ahmad Bhatti1Muhammad Javaid2Ebenezer Bonyah3Department of Sciences and HumanitiesDepartment of Sciences and HumanitiesDepartment of MathematicsDepartment of Mathematics EducationA connected graph GV,E in which the number of edges is one more than its number of vertices is called a bicyclic graph. A perfect matching of a graph is a matching in which every vertex of the graph is incident to exactly one edge of the matching set such that the number of vertices is two times its matching number. In this paper, we investigated maximum and minimum values of variable sum exdeg index, SEIa for bicyclic graphs with perfect matching for k≥5and a>1.http://dx.doi.org/10.1155/2021/4272208
spellingShingle Muhammad Rizwan
Akhlaq Ahmad Bhatti
Muhammad Javaid
Ebenezer Bonyah
Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs
Journal of Chemistry
title Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs
title_full Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs
title_fullStr Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs
title_full_unstemmed Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs
title_short Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs
title_sort extremal values of variable sum exdeg index for conjugated bicyclic graphs
url http://dx.doi.org/10.1155/2021/4272208
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AT akhlaqahmadbhatti extremalvaluesofvariablesumexdegindexforconjugatedbicyclicgraphs
AT muhammadjavaid extremalvaluesofvariablesumexdegindexforconjugatedbicyclicgraphs
AT ebenezerbonyah extremalvaluesofvariablesumexdegindexforconjugatedbicyclicgraphs