Geodesic
Permutations of type \(B\) with fixed number of descents and minus signs
Katarzyna Kril1 ; Wojciech Młotkowski1
1The University of Wrocław
The electronic journal of combinatorics, Tome 26 (2019) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We study three dimensional array of numbers $B(n,k,j)$, $0\le j,k\le n$, where $B(n,k,j)$ is the number of type $B$ permutations of order $n$ with $k$ descents and $j$ minus signs. We prove in particular, that $b(n,k,j):=B(n,k,j)/\binom{n}{j}$ is an integer and provide two combinatorial interpretations for these numbers.
DOI : 10.37236/7306
Classification : 05A05, 20B35

Katarzyna Kril  1   ; Wojciech Młotkowski  1

1 The University of Wrocław 
@article{10_37236_7306,
     author = {Katarzyna Kril and Wojciech M{\l}otkowski},
     title = {Permutations of type {\(B\)} with fixed number of descents and minus signs},
     journal = {The electronic journal of combinatorics},
     year = {2019},
     volume = {26},
     number = {1},
     doi = {10.37236/7306},
     zbl = {1409.05011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7306/}
}
TY  - JOUR
AU  - Katarzyna Kril
AU  - Wojciech Młotkowski
TI  - Permutations of type \(B\) with fixed number of descents and minus signs
JO  - The electronic journal of combinatorics
PY  - 2019
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/7306/
DO  - 10.37236/7306
ID  - 10_37236_7306
ER  - 
%0 Journal Article
%A Katarzyna Kril
%A Wojciech Młotkowski
%T Permutations of type \(B\) with fixed number of descents and minus signs
%J The electronic journal of combinatorics
%D 2019
%V 26
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/7306/
%R 10.37236/7306
%F 10_37236_7306
Katarzyna Kril; Wojciech Młotkowski. Permutations of type \(B\) with fixed number of descents and minus signs. The electronic journal of combinatorics, Tome 26 (2019) no. 1. doi: 10.37236/7306

Cité par Sources :