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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Sumario: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.