On the Maximum SC Index of Chemical Unicyclic Graphs
The sum-connectivity SC index of a graph G is defined as SCG=∑μν∈EG1/Θμ+Θν, where Θμ denotes the vertex degree of μ in G. In this paper, the fourth largest value of SC index for the chemical unicyclic graphs of order n≥7 is determined.
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Language: | English |
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Wiley
2025-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/jom/9915007 |
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author | Hui-Yan Cheng Lei Chen Sattar Alyar |
author_facet | Hui-Yan Cheng Lei Chen Sattar Alyar |
author_sort | Hui-Yan Cheng |
collection | DOAJ |
description | The sum-connectivity SC index of a graph G is defined as SCG=∑μν∈EG1/Θμ+Θν, where Θμ denotes the vertex degree of μ in G. In this paper, the fourth largest value of SC index for the chemical unicyclic graphs of order n≥7 is determined. |
format | Article |
id | doaj-art-a03a0216b13e4be0b63cb30dfe99cbe9 |
institution | Kabale University |
issn | 2314-4785 |
language | English |
publishDate | 2025-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj-art-a03a0216b13e4be0b63cb30dfe99cbe92025-02-02T00:00:02ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/9915007On the Maximum SC Index of Chemical Unicyclic GraphsHui-Yan Cheng0Lei Chen1Sattar Alyar2Department of Basic EducationGeneral Education DepartmentDepartment of MathematicsThe sum-connectivity SC index of a graph G is defined as SCG=∑μν∈EG1/Θμ+Θν, where Θμ denotes the vertex degree of μ in G. In this paper, the fourth largest value of SC index for the chemical unicyclic graphs of order n≥7 is determined.http://dx.doi.org/10.1155/jom/9915007 |
spellingShingle | Hui-Yan Cheng Lei Chen Sattar Alyar On the Maximum SC Index of Chemical Unicyclic Graphs Journal of Mathematics |
title | On the Maximum SC Index of Chemical Unicyclic Graphs |
title_full | On the Maximum SC Index of Chemical Unicyclic Graphs |
title_fullStr | On the Maximum SC Index of Chemical Unicyclic Graphs |
title_full_unstemmed | On the Maximum SC Index of Chemical Unicyclic Graphs |
title_short | On the Maximum SC Index of Chemical Unicyclic Graphs |
title_sort | on the maximum sc index of chemical unicyclic graphs |
url | http://dx.doi.org/10.1155/jom/9915007 |
work_keys_str_mv | AT huiyancheng onthemaximumscindexofchemicalunicyclicgraphs AT leichen onthemaximumscindexofchemicalunicyclicgraphs AT sattaralyar onthemaximumscindexofchemicalunicyclicgraphs |