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

zbMath1317.05022arXiv0810.1422MaRDI QIDQ5499917

Ricardo Mamede

Publication date: 5 August 2015

Full work available at URL: https://arxiv.org/abs/0810.1422

zbMATH Keywords

root systemsbijectionnoncrossing partitionsnonnesting partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items (4)

Bijections between noncrossing and nonnesting partitions for classical reflection groups ⋮ Facets of the generalized cluster complex and regions in the extended Catalan arrangement of type \(A\) ⋮ On noncrossing and nonnesting partitions of type \(D\) ⋮ Gray codes and lexicographical combinatorial generation for nonnesting and sparse nonnesting set partitions

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