Transactions of KarRC RAS :: Scientific publications

Н.Ю. Энатская.

Комбинаторный анализ схемы сочетаний с ограниченными степами

// Труды КарНЦ РАН. No 7. Сер. Математическое моделирование и информационные технологии. 2018. C. 134-139

N.Yu. Enatskaya. Combinatorial analysis of a combination scheme with restricted steps // Transactions of Karelian Research Centre of Russian Academy of Science. No 7. Mathematical Modeling and Information Technologies. 2018. Pp. 134-139

Keywords: combination scheme with restricted steps; enumeration of outcomes;
enumeration problem; simulation

We introduce a new characteristic of the outcome of a combination scheme, i.e. its steps, defined as differences between the neighboring elements of the outcome arranged in the order of increase. We consider the procedure of enumerating all outcomes of a combination scheme with a given restriction, establish the one-toone correspondence between the outcomes and their numbers generated in the enumeration procedure, and give some methods to simulate the possible outcomes of the scheme.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/747

DOI: 10.17076/mat747

Indexed at RSCI