VL Reciprocal Status Index and Co-Index of Graphs

For the vertex set VG of a graph G, the sum of reciprocals of the breadth (distances) between the vertex v∈VG and whole other remaining vertices of G is called reciprocal status of v. In this study, first of all, we introduced the VL reciprocal status index and VL reciprocal status co-index of a gra...

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Autores principales: Veerebradiah Lokesha, null Suvarna, Ahmet Sinan Cevik, Ismail Naci Cangul
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/2f3636859f87471087cc60383b85bc32
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Sumario:For the vertex set VG of a graph G, the sum of reciprocals of the breadth (distances) between the vertex v∈VG and whole other remaining vertices of G is called reciprocal status of v. In this study, first of all, we introduced the VL reciprocal status index and VL reciprocal status co-index of a graph G. Later, we exposed some sharp bounds for these indices. Furthermore, we determined the VL reciprocal status (co-)index over some standard graphs. Finally, we presented correlations between VL reciprocal status index and some properties of Butane derivatives via a table and illustrated with a figure.