This is the second paper of a series of two about the structural properties that influence the asymptotic dynamics of random boolean networks. Here we study the functionally independent clusters in which the relevant elements, introduced and studied in our first paper [U. Bastolla, G. Parisi, Physic
Reconstruction of Kauffman networks applying trees
✍ Scribed by Lídia Rejtő; Gábor Tusnády
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 408 KB
- Volume
- 417
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
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Kauffman networks were introduced in 1969 as a model of genetic regulatory systems. One of the most striking successes of this model is its ability to reproduce, for a critical value of its parameters, the observed scaling laws of the average cell replication time and of the average number of cell t
## Abstract We prove a theorem saying, when taken together with previous results of Bondy, Hemminger, and Thomassen, that every locally finite, infinite tree not containing a subdivision of the dyadic tree (i. e., the regular tree of degree 3) is uniquely determined, up to isomorphism, from its col