Carlos Handrey A. Ferraz, Hans J. Herrmann
Published 2006-03-30, updated 2006-04-18Version 3
We apply Kauffman's automata on small-world networks to study the crossover between the short-range and the infinite-range case. We perform accurate calculations on square lattices to obtain both critical exponents and fractal dimensions. Particularly, we find an increase of the damage propagation and a decrease in the fractal dimensions when adding long-range connections.
Comments: AMS-LaTeX v1.2, 8 pages with 8 figures Encapsulated Postscript, to be published in Physica A
Stability of the Kauffman Model
The Olami-Feder-Christensen model on a small-world topology
Anomalous Scaling and Fractal Dimensions
