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Prikladnaya Diskretnaya Matematika. Supplement, 2013, Issue 6, Pages 72–73
(Mi pdma71)
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This article is cited in 2 scientific papers (total in 2 papers)
Applied graph theory
Properties of gene networks with threshold functions
T. Batueva Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
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.
Citation:
T. Batueva, “Properties of gene networks with threshold functions”, Prikl. Diskr. Mat. Suppl., 2013, no. 6, 72–73
Linking options:
https://www.mathnet.ru/eng/pdma71 https://www.mathnet.ru/eng/pdma/y2013/i6/p72
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Abstract page: | 162 | Full-text PDF : | 68 | References: | 25 |
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