Journal of Mathematics (Jan 2021)

VL Reciprocal Status Index and Co-Index of Graphs

  • Veerebradiah Lokesha,
  • null Suvarna,
  • Ahmet Sinan Cevik,
  • Ismail Naci Cangul

DOI
https://doi.org/10.1155/2021/5529080
Journal volume & issue
Vol. 2021

Abstract

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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.