Geodesic
Matrix compositions
Journal of integer sequences, Tome 12 (2009) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the class of $m$-row matrix compositions ($m$-com positions, for short), i.e., $m$-row matrices with nonnegative integer entries in which every column has at least one non-zero element. We provide several enumerative results, various combinatorial identities, and some combinatorial interpretations. Most of these properties are an extension to matrix compositions of the combinatorial properties of ordinary compositions.
Classification : 05A17, 05A15
Keywords: compositions, multisets, Cassini identity, carlitz compositions, palindromic compositions, preferential arrangements, bargraphs, Stirling number, enumeration 
@article{JIS_2009__12_4_a5,
     author = {Munarini, Emanuele and Poneti, Maddalena and Rinaldi, Simone},
     title = {Matrix compositions},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a5/}
}
TY  - JOUR
AU  - Munarini, Emanuele
AU  - Poneti, Maddalena
AU  - Rinaldi, Simone
TI  - Matrix compositions
JO  - Journal of integer sequences
PY  - 2009
VL  - 12
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a5/
LA  - en
ID  - JIS_2009__12_4_a5
ER  - 
%0 Journal Article
%A Munarini, Emanuele
%A Poneti, Maddalena
%A Rinaldi, Simone
%T Matrix compositions
%J Journal of integer sequences
%D 2009
%V 12
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a5/
%G en
%F JIS_2009__12_4_a5
Munarini, Emanuele; Poneti, Maddalena; Rinaldi, Simone. Matrix compositions. Journal of integer sequences, Tome 12 (2009) no. 4. http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a5/