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 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.