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Topological fixed points in Boolean networks

Abstract : We introduce the notion of a topological fixed point in Boolean Networks: a fixed point of Boolean network F is said to be topologic if it is a fixed point of every Boolean network with the same interaction graph as the one of F. Then, we characterize the number of topological fixed points of a Boolean network according to the structure of its interaction graph.
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Loïc Paulevé, Adrien Richard. Topological fixed points in Boolean networks. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2010, 348 (15-16), pp.825-828. ⟨10.1016/j.crma.2010.07.014⟩. ⟨hal-00510892⟩

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