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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Main Authors: Veerebradiah Lokesha, null Suvarna, Ahmet Sinan Cevik, Ismail Naci Cangul
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5529080
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author Veerebradiah Lokesha
null Suvarna
Ahmet Sinan Cevik
Ismail Naci Cangul
author_facet Veerebradiah Lokesha
null Suvarna
Ahmet Sinan Cevik
Ismail Naci Cangul
author_sort Veerebradiah Lokesha
collection DOAJ
description 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.
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institution Kabale University
issn 2314-4785
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publishDate 2021-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-2f3636859f87471087cc60383b85bc322025-02-03T05:49:31ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5529080VL Reciprocal Status Index and Co-Index of GraphsVeerebradiah Lokesha0null Suvarna1Ahmet Sinan Cevik2Ismail Naci Cangul3Department of Studies in MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsFor 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.http://dx.doi.org/10.1155/2021/5529080
spellingShingle Veerebradiah Lokesha
null Suvarna
Ahmet Sinan Cevik
Ismail Naci Cangul
VL Reciprocal Status Index and Co-Index of Graphs
Journal of Mathematics
title VL Reciprocal Status Index and Co-Index of Graphs
title_full VL Reciprocal Status Index and Co-Index of Graphs
title_fullStr VL Reciprocal Status Index and Co-Index of Graphs
title_full_unstemmed VL Reciprocal Status Index and Co-Index of Graphs
title_short VL Reciprocal Status Index and Co-Index of Graphs
title_sort vl reciprocal status index and co index of graphs
url http://dx.doi.org/10.1155/2021/5529080
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AT nullsuvarna vlreciprocalstatusindexandcoindexofgraphs
AT ahmetsinancevik vlreciprocalstatusindexandcoindexofgraphs
AT ismailnacicangul vlreciprocalstatusindexandcoindexofgraphs