Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells
Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 126-135

Voir la notice de l'article provenant de la source Math-Net.Ru

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  - 
%0 Journal Article
%A N. Yu. Enatskaya
%T Combinatorial representations for the scheme of allocations of distinguishable particles into indistinguishable cells
%J Diskretnaya Matematika
%D 2017
%P 126-135
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/DM_2017_29_1_a9/
%G ru
%F DM_2017_29_1_a9

[1] Sachkov V. N., Vvedenie v kombinatornye metody diskretnoi matematiki, MTsNMO, M., 2004, 384 pp.

[2] Enatskaya N. Yu., Khakimullin E. R., Stokhasticheskoe modelirovanie, MIEM, M., 2012, 185 pp.

[3] Endryus G., Teoriya razbienii, Nauka, M., 1982, 256 pp. ; Andrews G. E., The Theory of Partitions, Encyclopedia of Mathematics and Its Applications, 2, Addison-Wesley, 1976, 255 pp. | MR | MR | Zbl

[4] Mansour T., Combinatorics of set partitions, CRC Press, 2012, 600 pp. | MR | Zbl

[5] Orlov M., Efficient generation of set partitions, Technical Report, 2002 https://www.cs.bgu.ac.il/õrlovm/papers/partitions.pdf