Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs

The sum-connectivity index of a graph G is defined as the sum of weights 1/du+dv over all edges uv of G, where du and dv are the degrees of the vertices u and v in graph G, respectively. In this paper, we give a sharp lower bound on the sum-connectivity index unicyclic graphs of order n≥7 and diamet...

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Main Author: Maryam Atapour
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/8391480
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spelling doaj-679e455741f246d2b1018d1fc864a3ca2021-09-13T01:24:00ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/8391480Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic GraphsMaryam Atapour0Department of Mathematics and Computer ScienceThe sum-connectivity index of a graph G is defined as the sum of weights 1/du+dv over all edges uv of G, where du and dv are the degrees of the vertices u and v in graph G, respectively. In this paper, we give a sharp lower bound on the sum-connectivity index unicyclic graphs of order n≥7 and diameter DG≥5.http://dx.doi.org/10.1155/2021/8391480
collection DOAJ
language English
format Article
sources DOAJ
author Maryam Atapour
spellingShingle Maryam Atapour
Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
Journal of Mathematics
author_facet Maryam Atapour
author_sort Maryam Atapour
title Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
title_short Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
title_full Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
title_fullStr Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
title_full_unstemmed Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
title_sort sharp lower bounds of the sum-connectivity index of unicyclic graphs
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description The sum-connectivity index of a graph G is defined as the sum of weights 1/du+dv over all edges uv of G, where du and dv are the degrees of the vertices u and v in graph G, respectively. In this paper, we give a sharp lower bound on the sum-connectivity index unicyclic graphs of order n≥7 and diameter DG≥5.
url http://dx.doi.org/10.1155/2021/8391480
work_keys_str_mv AT maryamatapour sharplowerboundsofthesumconnectivityindexofunicyclicgraphs
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