Geodesic
Properties of gene networks with threshold functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 72-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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An algorithm for finding all fixed points of the state graph of a circulant type gene network transformed by a Boolean function is given. All sources of the state graph of a gene network transformed by a threshold Boolean function in $k$ variables with a single value 1 are described. In case $k=3$ all circles of the state graph are described too, and the length of the maximum chain in it is calculated.
Keywords: gene network, directed graph, threshold functions, state graph of mapping, fixed point, source of state graph. 
@article{PDMA_2013_6_a32,
     author = {T. Batueva},
     title = {Properties of gene networks with threshold functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {72--73},
     year = {2013},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a32/}
}
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T. Batueva. Properties of gene networks with threshold functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 72-73. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a32/

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