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VL Reciprocal Status Index and Co-Index of Graphs

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  • Veerebradiah Lokesha
  • Suvarna
  • Ahmet Sinan Cevik
  • Ismail Naci Cangul
  • Antonio Di Crescenzo

Abstract

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.

Suggested Citation

  • Veerebradiah Lokesha & Suvarna & Ahmet Sinan Cevik & Ismail Naci Cangul & Antonio Di Crescenzo, 2021. "VL Reciprocal Status Index and Co-Index of Graphs," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, October.
    • Handle: RePEc:hin:jjmath:5529080
    DOI: 10.1155/2021/5529080
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