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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 21, Issue 1, Pages 83 - 108 (May 2011)

ON SOME HIGHER DIMENSIONAL COMPOSITIONS

Agustí® Moreno Cañ¡¤¡s, Aí¤¡ Nelly Pacheco Pulido and Adriana Marí¡ Sora Arcos

Abstract:

We use

-partitions and the number of linear extensions of a given poset

?in order to obtain formulas for the number of some restricted higher dimensional compositions of a positive integer.

Keywords and phrases:

composition, higher dimensional composition, lattice path, linear extension,

-partition, poset.

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