Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells
Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 126-135
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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.
N. Yu. Enatskaya. Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells. Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 126-135. http://geodesic.mathdoc.fr/item/DM_2017_29_1_a9/
@article{DM_2017_29_1_a9,
author = {N. Yu. Enatskaya},
title = {Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells},
journal = {Diskretnaya Matematika},
pages = {126--135},
year = {2017},
volume = {29},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2017_29_1_a9/}
}
TY - JOUR AU - N. Yu. Enatskaya TI - Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells JO - Diskretnaya Matematika PY - 2017 SP - 126 EP - 135 VL - 29 IS - 1 UR - http://geodesic.mathdoc.fr/item/DM_2017_29_1_a9/ LA - ru ID - DM_2017_29_1_a9 ER -
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