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arxiv: cond-mat/0603827 · v3 · submitted 2006-03-30 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

The Kauffman model on Small-World Topology

classification ❄️ cond-mat.stat-mech cond-mat.dis-nn
keywords dimensionsfractalkauffmansmall-worldaccurateaddingapplyautomata
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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.

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