The status σ (u) of a vertex u is defined as the sum of the distances between u and all other vertices of a graph G. In this paper we have defined the harmonic status index of a graph G as and obtained the bounds for HS(G). Further the harmonic status index of some graphs is obtained.
Bulletin of Mathematical Sciences and Applications (Volume 17)
H. S. Ramane et al., "Harmonic Status Index of Graphs", Bulletin of Mathematical Sciences and Applications, Vol. 17, pp. 24-32, 2016