### Meet and join within the lattice of set partitions.

Canfield, Rodney E. (2001)

The Electronic Journal of Combinatorics [electronic only]

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Canfield, Rodney E. (2001)

The Electronic Journal of Combinatorics [electronic only]

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Kasraoui, Anisse, Zeng, Jiang (2006)

The Electronic Journal of Combinatorics [electronic only]

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Knopfmacher, Arnold, Mansour, Toufik, Wagner, Stephan (2010)

The Electronic Journal of Combinatorics [electronic only]

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Athanasiadis, Christos A. (1998)

The Electronic Journal of Combinatorics [electronic only]

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David Wang (2014)

Open Mathematics

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Generalizing Reiner’s notion of set partitions of type B n, we define colored B n-partitions by coloring the elements in and not in the zero-block respectively. Considering the generating function of colored B n-partitions, we get the exact formulas for the expectation and variance of the number of non-zero-blocks in a random colored B n-partition. We find an asymptotic expression of the total number of colored B n-partitions up to an error of O(n −1/2log7/2 n], and prove that the centralized...

Armstrong, Drew, Eu, Sen-Peng (2008)

The Electronic Journal of Combinatorics [electronic only]

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Speed, Sam E. (2003)

Journal of Integer Sequences [electronic only]

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Knopfmacher, A., Odlyzko, A.M., Pittel, B., Richmond, L.B., Stark, D., Szekeres, G., Wormald, N.C. (1999)

The Electronic Journal of Combinatorics [electronic only]

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Bousquet-Mélou, Mireille, Xin, Guoce (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

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Canfield, E.Rodney, Corteel, Sylvie, Savage, Carla D. (1998)

The Electronic Journal of Combinatorics [electronic only]

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Griffiths, Martin, Mező, István (2010)

Journal of Integer Sequences [electronic only]

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Kohnert, Axel (2004)

The Electronic Journal of Combinatorics [electronic only]

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Došlić, Tomislav (2005)

Journal of Integer Sequences [electronic only]

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