Transactions of KarRC RAS :: Scientific publications

Энатская Н.Ю.

Комбинаторный анализ схемы подстановок с циклами заданных размеров

// Труды КарНЦ РАН. No 4. Сер. Математическое моделирование и информационные технологии. 2023. C. 64–70

Enatskaya N.Yu. Combinatoral analysis of a substitution scheme with cycles of given sizes // Transactions of Karelian Research Centre of Russian Academy of Science. No 4. Mathematical Modeling and Information Technologies. 2023. P. 64–70

Keywords: substitution scheme; cyclic structure of substitution; cycle formulations; numbering task; modeling

In this scheme, all tasks of enumerative combinatorics are solved, which include the construction of a procedure for listing its outcomes, determining their number, finding their probability distribution, and solving the numbering task in direct and reverse formulations. It is suggested that the results are used as the basis for universal modeling of its outcomes.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/1730

DOI: 10.17076/mat1730

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