Phase transitions in an aging network.
We consider a growing network in which an incoming node gets attached to the ith existing node with the probability Pi(i) is proportional to ki(beta)taui(alpha)i , where ki is the degree of the ith node and taui its present age. The phase diagram in the alpha-beta plane is obtained. The network shows scale-free behavior, i.e., the degree distribution Pk approximately k(-gamma) with gamma=3 only along a line in this plane. Small world property, on the other hand, exists over a large region in the phase diagram.
Aging↗