Transactions of KarRC RAS :: Scientific publications

Н.Ю. Энатская.

Комбинаторный анализ схемы размещения различимых частиц по неразличимым ячейкам с заданным числом пустых ячеек

// Труды КарНЦ РАН. No 7. Сер. Математическое моделирование и информационные технологии. 2019. C. 70-77

N. Yu. Enatskaya. Combinatorial analysis in the scheme of allocation of distinguishable particles into indistinguishable cells with a given number of non-empty cells // Transactions of Karelian Research Centre of Russian Academy of Science. No 7. Mathematical Modeling and Information Technologies. 2019. Pp. 70-77

Keywords: minimum numbers of particles on cells; portion additions

The scheme of allocating r distinguishable particles into n indistinguishable cells with k non-empty cells is studied along the directions of enumerative combinatorics. They are the direct enumeration of the outcomes of the scheme with a particular discipline of their numbering, finding their numbers, establishing a one-to-one correspondence of the types of outcomes with their numbers, also known as numbering problem in direct and inverse statements, and modeling of outcomes of the scheme.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/976

DOI: 10.17076/mat976

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