A dual of MacMahon’s theorem on plane partitions

DOI10.1073/pnas.1217100110zbMath1292.52021arXiv1210.5506OpenAlexW2125478358WikidataQ93576880 ScholiaQ93576880MaRDI QIDQ5170955

Christian Krattenthaler, Mihai Ciucu

Publication date: 25 July 2014

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5506

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

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Cites Work

• Applications of graphical condensation for enumerating matchings and tilings
• Symmetries of plane partitions
• Plane partitions. III: The weak Macdonald conjecture
• Symmetries of plane partitions and the permanent-determinant method
• Nonintersecting paths, pfaffians, and plane partitions
• The Problem of the Calissons
• Proof of George Andrews’s and David Robbins’s q -TSPP conjecture
• Enumeration of Lozenge tilings of hexagons with a central triangular hole