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Scientific publications

Н.Ю. Энатская.
Комбинаторный анализ схемы домино и случай фиксированной минимальной цифры на фишке домино
N.Yu. Enatskaya. Combinatorial analysis of the dominoes scheme and the case of fixed minimal figure on a domino tile // Transactions of Karelian Research Centre of Russian Academy of Science. No 8. Mathematical Modeling and Information Technologies. 2017. Pp. 86-93
Keywords: scheme of combinations with repetitions; minimal figure; dominoes scheme; modeling
The dominoes scheme is defined as a scheme of random tiling with poliomino tiles with $r$ ends and $n$ figures from 0 to $(n-1)$ on the ends of tiles of all possible compositions with repetitions, regardless of their order. This scheme is studied, together with an analogous one, with a fixed minimal figure $rge m$ at the outcome of a random choice of a tile from a complete domino set, using the following ways of enumerative combinatorics: design of the enumeration procedure for the numbered outcomes of the scheme, determination of their number, solution of the corresponding numeration problem (i.e. establishment of one-to-one correspondence between numbers and types of the outcomes of the scheme), finding of their probabilistic distribution and modeling of their possible outcomes
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Last modified: September 14, 2017