Politecnico di Milano
Dipartimento di Matematica
Piazza Leonardo da Vinci 32
Maddalena Poneti and Simone Rinaldi
Università di Siena
Dipartimento di Scienze Matematiche e Informatiche
Pian dei Mantellini 44
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.
Full version: pdf,
(Concerned with sequences
Received July 25 2008;
revised version received June 16 2009.
Published in Journal of Integer Sequences, June 20 2009.
Journal of Integer Sequences home page