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. 
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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     author = {I. S. Bykov},
     title = {On cycles in functional graphs of circulant type gene networks with threshold functions},
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