Volume 56, Number 3, November 2001
|Page(s)||461 - 467|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 December 2003|
Scale-free networks are not robust under neutral evolution
NORDITA - Blegdamsvej 17, DK-2100 Copenhagen, Denmark and
Applied Mathematical Physics,
Department of Technology and Science
Linköping University (Campus Norrköping) -
S-601 74 Norrköping, Sweden
Corresponding author: firstname.lastname@example.org
Accepted: 6 August 2001
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.
PACS: 89.75.Da – Systems obeying scaling laws / 05.65.+b – Self-organized systems / 87.23.Kg – Dynamics of evolution
© EDP Sciences, 2001
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