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Core percolation and onset of complexity in Boolean networks

L. Correale·M. Leone·A. Pagnani·M. Weigt·R. Zecchina
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Abstract

The determination and classification of fixed points of large Boolean networks is addressed in terms of constraint satisfaction problem. We develop a general simplification scheme that, removing all those variables and functions belonging to trivial logical cascades, returns the computational core of the network. The onset of an easy-to-complex regulatory phase is introduced as a function of the parameters of the model, identifying both theoretically and algorithmically the relevant regulatory variables.

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L. Correale, M. Leone, A. Pagnani, M. Weigt, R. Zecchina. 2005-11-22. Core percolation and onset of complexity in Boolean networks. https://doi.org/10.1103/physrevlett.96.018101

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