A method for proving polynomial enumeration formulas

DOI10.1016/j.jcta.2004.11.007zbMath1066.05011arXivmath/0301103OpenAlexW2049480943WikidataQ59196593 ScholiaQ59196593MaRDI QIDQ2484506

Ilse Fischer

Publication date: 1 August 2005

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301103

zbMATH Keywords

Generating functionsPlane partitionsTableaux

Mathematics Subject Classification ID

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

Related Items (9)

The mysterious story of square ice, piles of cubes, and bijections ⋮ The number of monotone triangles with prescribed bottom row ⋮ A bijective proof of the ASM theorem. I: The operator formula ⋮ The first bijective proof of the refined ASM theorem ⋮ Alternating sign matrices and totally symmetric plane partitions ⋮ The operator formula for monotone triangles - simplified proof and three generalizations ⋮ Sequences of labeled trees related to Gelfand-Tsetlin patterns ⋮ Short proof of the ASM theorem avoiding the six-vertex model ⋮ Computations versus bijections for tiling enumeration

Uses Software

• ROBBINS

Cites Work

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• Proof of the refined alternating sign matrix conjecture
• The enumeration of totally symmetric plane partitions
• Bruhat lattices, plane partition generating functions, and minuscule representations
• New symmetric plane partition identities from invariant theory work of De Concini and Procesi
• Enumeration of plane partitions
• Vicious walkers, friendly walkers and Young tableaux: II. With a wall
• Hall-Littlewood Functions, Plane Partitions, and the Rogers-Ramanujan Identities
• The major counting of nonintersecting lattice paths and generating functions for tableaux
• Schützenberger's jeu de taquin and plane partitions

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