In this paper, we show that in the class of graphs of order n and given
(vertex or edge) connectivity equal to k (or at most equal to k), 1 ? k ? n
- 1, the graph Kk + (K1? Kn-k-1) is the unique graph such that
zeroth-order general Randic index, general sum-connectivity index and
general Randic connectivity index are maximum and general hyper-Wiener
index is minimum provided ? > 1. Also, for 2-connected (or 2-edge connected)
graphs and ? > 0 the unique graph minimizing these indices is the n-vertex
cycle Cn.