900 citations
- GSI Helmholtz Centre for Heavy Ion ResearchDE32 papers
- University of WrocławPL24 papers
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- Joint Institute for Nuclear ResearchRU10 papers
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8 papers · 1 filter
Critical Boolean networks with scale-free in-degree distribution
Barbara Drossel, Florian Greil
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 distrib…
Generating random networks with given degree-degree correlations and degree-dependent clustering
Andreas Pusch, Sebastian Weber, Markus Porto
Random networks are widely used to model complex networks and research their properties. In order to get a good approximation of complex networks encountered in various disciplines…
Critical Kauffman networks under deterministic asynchronous update
Florian Greil, Barbara Drossel, Joost Sattler
We investigate the influence of a deterministic but non-synchronous update on Random Boolean Networks, with a focus on critical networks. Knowing that ``relevant components'' deter…
Kauffman networks with threshold functions
Florian Greil, Barbara Drossel
We investigate Threshold Random Boolean Networks with inputs per node, which are equivalent to Kauffman networks, with only part of the canalyzing functions as update funct…
Relevant components in critical random Boolean networks
V. Kaufman, B. Drossel
Random Boolean networks were introduced in 1969 by Kauffman as a model for gene regulation. By combining analytical arguments and efficient numerical simulations, we evaluate the p…
Scaling in a general class of critical random Boolean networks
Tamara Mihaljev, Barbara Drossel
We derive analytically the scaling behavior in the thermodynamic limit of the number of nonfrozen and relevant nodes in the most general class of critical Kauffman networks for any…