Square root stress-sum index for graphs

Abstract The stress of a vertex is a centrality index, which has been introduced by Shimbel (1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through it. In this paper, we introduce a new topological index for graphs called square root stress-sum index usi...

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Autores principales: Mahesh,K. B., Rajendra,R., Reddy,P. Siva Kota
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400927
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spelling oai:scielo:S0716-091720210004009272021-08-12Square root stress-sum index for graphsMahesh,K. B.Rajendra,R.Reddy,P. Siva Kota Geodesic Stress of a vertex Topological index Abstract The stress of a vertex is a centrality index, which has been introduced by Shimbel (1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through it. In this paper, we introduce a new topological index for graphs called square root stress-sum index using stresses of vertices. Further, we establish some inequalities, obtain some results and compute square root stress-sum index for some standard graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.4 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400927en10.22199/issn.0717-6279-4362
institution Scielo Chile
collection Scielo Chile
language English
topic Geodesic
Stress of a vertex
Topological index
spellingShingle Geodesic
Stress of a vertex
Topological index
Mahesh,K. B.
Rajendra,R.
Reddy,P. Siva Kota
Square root stress-sum index for graphs
description Abstract The stress of a vertex is a centrality index, which has been introduced by Shimbel (1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through it. In this paper, we introduce a new topological index for graphs called square root stress-sum index using stresses of vertices. Further, we establish some inequalities, obtain some results and compute square root stress-sum index for some standard graphs.
author Mahesh,K. B.
Rajendra,R.
Reddy,P. Siva Kota
author_facet Mahesh,K. B.
Rajendra,R.
Reddy,P. Siva Kota
author_sort Mahesh,K. B.
title Square root stress-sum index for graphs
title_short Square root stress-sum index for graphs
title_full Square root stress-sum index for graphs
title_fullStr Square root stress-sum index for graphs
title_full_unstemmed Square root stress-sum index for graphs
title_sort square root stress-sum index for graphs
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400927
work_keys_str_mv AT maheshkb squarerootstresssumindexforgraphs
AT rajendrar squarerootstresssumindexforgraphs
AT reddypsivakota squarerootstresssumindexforgraphs
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