V L Reciprocal Status Index and Co-Index of Graphs

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

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021-10, Vol.2021, p.1-10
Main Authors: Lokesha, Veerebradiah, Suvarna, Sinan Cevik, Ahmet, Cangul, Ismail Naci
Format: Article
Language:English
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Summary:For the vertex set V G of a graph G , the sum of reciprocals of the breadth (distances) between the vertex v ∈ V G and whole other remaining vertices of G is called reciprocal status of v . In this study, first of all, we introduced the V L reciprocal status index and V L reciprocal status co-index of a graph G . Later, we exposed some sharp bounds for these indices. Furthermore, we determined the V L reciprocal status (co-)index over some standard graphs. Finally, we presented correlations between V L reciprocal status index and some properties of Butane derivatives via a table and illustrated with a figure.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/5529080