5 Growing network models: the Barabási–Albert model and its variants
Many properties of real-world networks have been considered so far: the degree distribution, clustering, diameter, etc. However, the treatment of these properties has been rather ad hoc, i.e., each new property found has been incorporated into a simple static model. This approach has several disadvantages.
• We cannot be sure that the ensemble we use is the correct one for the problem. Usually, we try to take the largest or simplest ensemble having the desired properties. However, this may not apply to real-world networks.
• Real-world networks are usually dynamical, whether over a short time span, such as the Internet and WWW, or over a long (evolutional) time span. The ...