Scale-free networks are not robust under neutral evolution

Details Scale-free networks are not robust under neutral evolution Scale-free networks are not robust under neutral evolution

2001-04-06

arxiv.org/abs/nlin/0104016v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Submitted for publication

Scientific paper

Recently it has been shown that a large variety of different networks have power-law (scale-free) distributions of connectivities. We investigate the robustness of such a distribution in discrete threshold networks under neutral evolution. The guiding principle for this is robustness in the resulting phenotype. The numerical results show that a power-law distribution is not stable under such an evolution, and the network approaches a homogeneous form where the overall distribution of connectivities is given by a Poisson distribution.

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