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A Scale-free Network with Boolean Dynamics as a Function of Connectivity

A. Castro e Silva·J. Kamphorst Leal da Silva·J. F. F. Mendes
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Abstract

In this work we analyze scale-free networks with different power law spectra $N(k) \sim k^{-γ}$ under a boolean dynamic, where the boolean rule that each node obeys is a function of its connectivity $k$. This is done by using only two logical functions (AND and XOR) which are controlled by a parameter $q$. Using damage spreading technique we show that the Hamming distance and the number of 1's exhibit power law behavior as a function of $q$. The exponents appearing in the power laws depend on the value of $γ$.

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BibTeXRIS

A. Castro e Silva, J. Kamphorst Leal da Silva, J. F. F. Mendes. 2004-10-19. A Scale-free Network with Boolean Dynamics as a Function of Connectivity. https://arxiv.org/abs/cond-mat/0410469

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