Discrete vector models for catalysis and autocatalysis.

Haß, Ernst-Christoph; Sauerbrei, Sonja; Plath, Peter Jörg

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On the partition of the genotypic function

W. Klonecki (1966)

Applicationes Mathematicae

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Maximum product over partitions into distinct parts.

Došlić, Tomislav (2005)

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$(ℓ, 0)$ -Carter partitions, their crystal-theoretic behavior and generating function.

Berg, Chris, Vazirani, Monica (2008)

The Electronic Journal of Combinatorics [electronic only]

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On a certain analogy of Stirling's numbers of the 2nd kind

Robert Karpe (1973)

Archivum Mathematicum

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Integer partitions, tilings of $2 D$ -gons and lattices

Matthieu Latapy (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of $2 D$ -gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a $2 D$ -gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist. ...