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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Main Authors: Hui-Yan Cheng, Lei Chen, Sattar Alyar
Format: Article
Language:English
Published: Wiley 2025-01-01
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.
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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