On cycles in functional graphs of circulant type gene networks with threshold functions | Applied Discrete Mathematics. Supplement. 2014. № 7.

HomeIssuesOn cycles in functional graphs of circulant type gene networks with threshold functions | Applied Discrete Mathematics. Supplement. 2014. № 7.

On cycles in functional graphs of circulant type gene networks with threshold functions

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.

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Keywords

генные сети, пороговые функции, граф функционирования, циклы графа функционирования, состояния с длинными сериями, состояния с ко-роктими сериями, gene network, threshold functions, functional graph, cycles of functional graph, states with long series, states with short series

Authors

NameOrganizationE-mail
Bykov I. S.patrick.no10@gmail.com
Всего: 1

References

Евдокимов А. А., Лиховидова Е. О. Дискретная модель генной сети циркулянтного типа с пороговыми функциями // Вестник Томского государственного университета. 2008. №2. С.18-21.
Быков И. С. Функционирование дискретных моделей генных сетей циркулянтного типа с пороговыми функциями // Материалы IX молодежной научн. школы по дискретной математике и её приложениям. МГУ, 2013. С. 26-31.
On cycles in functional graphs of circulant type gene networks with threshold functions | Applied Discrete Mathematics. Supplement. 2014. № 7.

On cycles in functional graphs of circulant type gene networks with threshold functions | Applied Discrete Mathematics. Supplement. 2014. № 7.