A bijection between noncrossing and nonnesting partitions of types A, B and C

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;...

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Bibliographic Details
Main Author: Mamede, Ricardo (author)
Format: other
Language:eng
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/10316/11176
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11176