In this paper we study the class of m-row matrix compositions (m-compositions, 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.
Munarini, E., Milano, P.D., Poneti, M., Rinaldi, S. (2009). Matrix compositions. JOURNAL OF INTEGER SEQUENCES, 12(4).
Matrix compositions
PONETI, MADDALENA;Rinaldi, S.
2009-01-01
Abstract
In this paper we study the class of m-row matrix compositions (m-compositions, 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.
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https://hdl.handle.net/11365/10513
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