Geodesic
On cycles in functional graphs of circulant type gene networks with threshold functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 122-124.

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In this paper, the functioning of circulant type gene networks with threshold function are studied. All states of a system are classified according to the length of $0$-series and $1$-series. It is shown that all cycles of a functional graph are divided into two groups: cycles composed of states with long series and cycles composed of states with short series. Some lower estimate of the number of cycles in a functional graph is obtained. A construction for building cycles composed of states with short series is given.
Keywords: gene network, threshold functions, functional graph, cycles of functional graph, states with long series, states with short series. 
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     author = {I. S. Bykov},
     title = {On cycles in functional graphs of circulant type gene networks with threshold functions},
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I. S. Bykov. On cycles in functional graphs of circulant type gene networks with threshold functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 122-124. http://geodesic.mathdoc.fr/item/PDMA_2014_7_a51/

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