Lattice paths and the antiautomorphism of the poset of descending plane partitions

DOI10.1016/S0012-365X(03)00159-6zbMath1021.05007OpenAlexW1967400666MaRDI QIDQ1408888

Pierre Lalonde

Publication date: 25 September 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(03)00159-6

zbMATH Keywords

posetlattice pathdescending plane partitionantiautomorphismpaths duality

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (8)

Descending plane partitions and rhombus tilings of a hexagon with a triangular hole ⋮ Twenty-vertex model with domain wall boundaries and domino tilings ⋮ The relation between alternating sign matrices and descending plane partitions: \(n + 3\) pairs of equivalent statistics ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ On the weighted enumeration of alternating sign matrices and descending plane partitions ⋮ A natural bijection between permutations and a family of descending plane partitions ⋮ Alternating sign matrices with one \(-1\) under vertical reflection ⋮ A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts

Cites Work

• Alternating sign matrices and descending plane partitions
• Binomial determinants, paths, and hook length formulae
• \(q\)-enumeration of alternating sign matrices with exactly one \(-1\)

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