This article is cited in 2 papers

Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells

N. Yu. Enatskaya

National Research University "Higher School of Economics" (HSE), Moscow

Abstract: For a scheme of allocation of distinguishable particles into indistinguishable cells we describe types of representation, numbering and enumerating of its outcomes in terms of the transition graph; this graph allows, in particular, to find the distribution on the set of outcomes. Several methods of statistical simulation of scheme outcomes are described.

Keywords: allocation of particles into cells, indistinguishable cells, statistical simulation.

UDC: 519.115

Received: 07.05.2015
Revised: 15.07.2015

DOI: 10.4213/dm1410

 English version: Discrete Mathematics and Applications, 2018, 28:4, 223–230

Bibliographic databases:

• 
• 
•