A short proof of two shuffling theorems for tilings and a weighted generalization

DOI10.1016/j.disc.2021.112710zbMath1480.05004arXiv1906.04533OpenAlexW3211345405WikidataQ113877040 ScholiaQ113877040MaRDI QIDQ2065887

Seok Hyun Byun

Publication date: 13 January 2022

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

Full work available at URL: https://arxiv.org/abs/1906.04533

zbMATH Keywords

lozenge tilingtiling enumeration

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items

Lozenge tilings of hexagons with holes on three crossing lines

Cites Work

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• Applications of graphical condensation for enumerating matchings and tilings
• The other dual of MacMahon's theorem on plane partitions
• The shape of a typical boxed plane partition
• A shuffling theorem for reflectively symmetric tilings
• A simple explanation for the ``shuffling phenomenon for lozenge tilings of dented hexagons
• Bijective proofs of skew Schur polynomial factorizations