Inproceedings,

``Six Degrees of Separation'' in Boolean Function Networks with Neutrality

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GECCO 2004 Workshop Proceedings, Seattle, Washington, USA, (26-30 June 2004)

Abstract

We analyse two Boolean function networks with different degrees of neutrality. The results show that the one with explicit neutrality is a small-world network where each pair of possible solutions has a short distance and most of the possible solutions are highly clustered. These network structural properties owe their existence to the ``short cuts'' introduced by redundant genes in the genotypes. We explain some important small-world network structures, such as clusters, hubs and power law link distribution. These properties have potential to be useful in designing efficient evolutionary algorithms to navigate search in the network.

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