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;...
Main Author: | |
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Format: | other |
Language: | eng |
Published: |
2009
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Subjects: | |
Online Access: | http://hdl.handle.net/10316/11176 |
Country: | Portugal |
Oai: | oai:estudogeral.sib.uc.pt:10316/11176 |