(v) The above discussion indicates that there are a number of “end-states” or absorbing states for random networks, that include the scale-free state, when power-law scaling prevails at all times, the fully connected state, which will be the absorbing state of the ER model for large p, and the ripened state, which will characterize the system described in point (iv). Note that the end state of the WS model, obtained for pWS = 1, is the ER model for pER = z=N. The precise nature of the transition between these states is still an open question, and will be the subject of future studies [30].