Harishchandra S. Ramane, Bommanahal Basavanagoud, Ashwini S. Yalnaik, Harmonic Status Index of Graphs, Volume 17, Bulletin of Mathematical Sciences and Applications (Volume 17)
https://www.scipress.com/BMSA.17.24
Abstract:
    The status σ (<i>u</i>) of a vertex <i>u</i> is defined as the sum of the distances between <i>u</i> and all other vertices of a graph <i>G</i>. In this paper we have defined the harmonic status index of a graph <i>G</i> as and obtained the bounds for <i>HS</i>(<i>G</i>). Further the harmonic status index of some graphs is obtained.
Keywords:
    Diameter, Distance, Harmonic Status Index, Status