Scale Free Topology

A scale-free topology means that the probability, P(k), that an arbitrary element of the network connects to exactly k other networks has the form: P = Ck-Y, where gamma is usually the scale-free exponent. Only a few elements of any scale-free network link with many of the other elements of the system, and most of the elements link with just a few elements. Such scale-free topologies undergo phase transitions from their ordered dynamics to chaotic dynamics as size change. Gamma and a system parameter, P , constrain scale-free topologies. The dynamics of these networks are largely unexplored (Ref: Scale-Free Topology and Robust Networks).

0 0

Post a comment