Publications

Scientific publications

Энатская Н.Ю.
Схема перестановок с заданным разбросом ее фиксированных элементов
Enatskaya N.Yu. Permutation scheme with a given range of fixed elements // Transactions of Karelian Research Centre of Russian Academy of Science. No 4. Mathematical Modeling and Information Technologies. 2024. Pp. 55-60
Keywords: permutation scheme; range of fixed elements of permutation; numbering problem; modeling
A given range of fixed elements of a permutation means a certain number of elements between the elements located at the extremes in the permutation in each sequence. The proposed scheme is analyzed in the pre-asymptotic region of feasible parameter values using the enumerative method designed by the author, i. e., the enumerative combinatorics problems of finding the number of its outcomes, their non-repeated numbered enumeration, finding one-to-one correspondence between the types of outcomes and their numbers, determining the probabilities of outcomes are solved and a procedure for their universal modelingis proposed.
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Last modified: July 16, 2024