Diskretnaya Matematika, Tome 5 (1993) no. 3, pp. 90-101
Citer cet article
E. E. Marenich. A combinatorial approach to the enumeration of doubly stochastic square matrices with nonnegative integer elements. Diskretnaya Matematika, Tome 5 (1993) no. 3, pp. 90-101. http://geodesic.mathdoc.fr/item/DM_1993_5_3_a7/
@article{DM_1993_5_3_a7,
author = {E. E. Marenich},
title = {A~combinatorial approach to the enumeration of doubly stochastic square matrices with nonnegative integer elements},
journal = {Diskretnaya Matematika},
pages = {90--101},
year = {1993},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1993_5_3_a7/}
}
TY - JOUR
AU - E. E. Marenich
TI - A combinatorial approach to the enumeration of doubly stochastic square matrices with nonnegative integer elements
JO - Diskretnaya Matematika
PY - 1993
SP - 90
EP - 101
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/DM_1993_5_3_a7/
LA - ru
ID - DM_1993_5_3_a7
ER -
%0 Journal Article
%A E. E. Marenich
%T A combinatorial approach to the enumeration of doubly stochastic square matrices with nonnegative integer elements
%J Diskretnaya Matematika
%D 1993
%P 90-101
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/DM_1993_5_3_a7/
%G ru
%F DM_1993_5_3_a7
Let $H_R(n,r)$ be equal to the number of $n\times n$ matrices with non-negative integer elements such that all row sums and all column sums are equal to $r$ and all elements with indices from a set $R$ are equal to zero. We investigate the properties of the function $H_R(n,r)$ and give a combinatorial interpretation of the obtained results.
