VL Reciprocal Status Index and Co-Index of Graphs

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Lokesha V., Suvarna S., Cevik A. S., CANGÜL İ. N.

JOURNAL OF MATHEMATICS, vol.2021, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2021
  • Publication Date: 2021
  • Doi Number: 10.1155/2021/5529080
  • Journal Name: JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Bursa Uludag University Affiliated: Yes

Abstract

For the vertex set V (G) of a graph G, the sum of reciprocals of the breadth (distances) between the vertex v is an element of V (G) 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.