Evolution of networks with aging of sites

We study the growth of a network with aging of sites. Each new site of the network is connected to some old site with probability proportional (i) to the connectivity of the old site as in the Barab\'asi-Albert's model and (ii) to ^-, where is the age of the old site. We find both from simulation and analytically that the network shows scaling behavior only in the region 1, the distribution P (k) is exponentional.