The modeling of scalefree networks
Abstract
In order to explore further the mechanism responsible for scalefree networks, we introduce two extended models of the BA model. The model A, where the system incorporates the addition of new links between existing nodes, a new node with new links and the rewiring of some links at every time step, all sites are born with some initial attractiveness. We calculate analytically the degree distribution. The system selforganizes into a scalefree network, the scaling exponent γ>2. The model B is a new model; we consider that some old links are deleted with the antipreferential probability. The result indicates that the system evolves itself into a scalefree network, the scaling exponent γ varies from 2 to 3.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 April 2004
 DOI:
 10.1016/j.physa.2003.12.014
 Bibcode:
 2004PhyA..335..240C
 Keywords:

 Scalefree networks;
 Degree distribution;
 Scaling exponent