The Kauffman model on Small-World Topology
arXiv:cond-mat/0603827 · doi:10.1016/j.physa.2006.04.063
Abstract
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.
AMS-LaTeX v1.2, 8 pages with 8 figures Encapsulated Postscript, to be published in Physica A