Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11176
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mamede, Ricardo | - |
dc.date.accessioned | 2009-08-26T14:32:44Z | - |
dc.date.available | 2009-08-26T14:32:44Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-12 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11176 | - |
dc.description.abstract | The total number of noncrossing partitions of type is the nth Catalan number 1 n+1 2n n when = An−1, and the coefficient binomial 2n n when = Bn or Cn, and these numbers coincide with the correspondent number of nonnesting partitions. For type A, there are several bijective proofs of this equality; in particular, the intuitive map, which locally converts each crossing to a nesting, is one of them. In this paper we present a bijection between nonnesting and noncrossing partitions of types A,B and C that generalizes the type A bijection that locally converts each crossing to a nesting. | en_US |
dc.description.sponsorship | Centro de Matemática da Universidade de Coimbra | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Root systems | en_US |
dc.subject | Noncrossing partitions | en_US |
dc.subject | Nonnesting partitions | en_US |
dc.subject | Bijection | en_US |
dc.title | A bijection between noncrossing and nonnesting partitions of types A, B and C | en_US |
dc.type | preprint | en_US |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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A bijection between noncrossing and nonnesting partitions.pdf | 207.85 kB | Adobe PDF | View/Open |
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