Complex Systems

Evolution and Dynamics of Small-World Cellular Automata Download PDF

Marco Tomassini

Mario Giacobini

Christian Darabos
Information Systems Department,
University of Lausanne,
1015 Lausanne, Switzerland

Abstract

We study an extension of cellular automata to arbitrary interconnection topologies for the majority and the synchronization problems. By using an evolutionary algorithm, we show that small-world type network topologies consistently evolve from regular and random structures without being designed beforehand. These topologies have better performance than regular lattice structures and are easier to evolve, which could explain in part their ubiquity. Moreover, we show experimentally that general graph topologies are much more robust in the face of random faults than lattice structures for these problems.