Critical Boolean networks with scale-free in-degree distribution

Barbara Drossel; Florian Greil

doi:10.1103/physreve.80.026102

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arXiv · 0901.0387

Critical Boolean networks with scale-free in-degree distribution

Barbara Drossel·Florian Greil

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Abstract

We investigate analytically and numerically the dynamical properties of critical Boolean networks with power-law in-degree distributions. When the exponent of the in-degree distribution is larger than 3, we obtain results equivalent to those obtained for networks with fixed in-degree, e.g., the number of the non-frozen nodes scales as $N^{2/3}$ with the system size $N$. When the exponent of the distribution is between 2 and 3, the number of the non-frozen nodes increases as $N^x$, with $x$ being between 0 and 2/3 and depending on the exponent and on the cutoff of the in-degree distribution. These and ensuing results explain various findings obtained earlier by computer simulations.

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BibTeX RIS

Barbara Drossel, Florian Greil. 2009-01-04. Critical Boolean networks with scale-free in-degree distribution. https://doi.org/10.1103/physreve.80.026102

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