Some results on Wiener indices for a connected graph G

Wiener, hyper-Wiener and partial-Wiener indices are single number and defined by W(G) = Sigma({u,v} subset of V(G)) d(u, v vertical bar G), WW(G) = 1/2 Sigma({u,v}) (subset of V(G))[d(2)(u, v vertical bar G) + d(u, v vertical bar G)] and W-i(G) = Sigma({u,v} subset of V(G)d(u,v vertical bar G)>= i) d(u, v vertical bar G), 1 <= i <= delta; respectively, where d(u, v vertical bar G) is the distance between two vertices u and v in a graph G, V (G) is the vertex set of G and delta is the diameter of G. In this paper, we find a relationship between some Wiener indices and boundary of hyper-Wiener index depending on the diameter and Wiener index.