Publications

Scientific publications

Н.Ю. Энатская.
Анализ схемы размещения с ограниченными степами и его применение для изучения рассеяния подстановки
N.Yu. Enatskaya. Analysis of an allocation scheme with limited steps and its aplication for the study of permutation dispersion // Transactions of Karelian Research Centre of Russian Academy of Science. No 8. Mathematical Modeling and Information Technologies. 2017. Pp. 94-100
Keywords: allocation scheme with restricted steps; enumeration of outcomes; enumeration problem; simulation; dispersion of permutations
The various procedures of enumerating all outcomes of an allocation scheme with a given constraint are considered; one-to-one correspondence between the outcomes and their numbers is established; possible values of the scheme’s implementation are simulated. Proceeding from this analysis, results can then be obtained for permutations of any cycle structure with dispersion constrained by the same number as the steps in our scheme if the allocations are interpreted as consecutive mappings in its cycles.
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Last modified: September 14, 2017