Tilings of hexagons with a removed triad of bowties

DOI10.1016/j.jcta.2020.105359zbMath1456.52023arXiv1909.04070OpenAlexW3099734304MaRDI QIDQ2221833

Mihai Ciucu, Ranjan Rohatgi, Tri Lai

Publication date: 2 February 2021

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

Full work available at URL: https://arxiv.org/abs/1909.04070

zbMATH Keywords

exact enumerationplane partitionslozenge tilingsgraphical condensationproduct formulas

Mathematics Subject Classification ID

Graph representations (geometric and intersection representations, etc.) (05C62) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (4)

Lozenge tilings of hexagons with removed core and satellites ⋮ Ratio of tiling generating functions of semi-hexagons and quartered hexagons with dents ⋮ A simple explanation for the ``shuffling phenomenon for lozenge tilings of dented hexagons ⋮ Lozenge tilings of hexagons with holes on three crossing lines

Cites Work

• Unnamed Item
• A \(q\)-enumeration of lozenge tilings of a hexagon with three dents
• Applications of graphical condensation for enumerating matchings and tilings
• The other dual of MacMahon's theorem on plane partitions
• Enumeration of Lozenge tilings of halved hexagons with a boundary defect
• The shape of a typical boxed plane partition
• Lozenge tiling function ratios for hexagons with dents on two sides
• Lozenge tilings of doubly-intruded hexagons
• The Problem of the Calissons
• A generalization of MacMahon’s formula
• A dual of MacMahon’s theorem on plane partitions
• A random tiling model for two dimensional electrostatics
• Enumeration of Lozenge tilings of hexagons with a central triangular hole

This page was built for publication: Tilings of hexagons with a removed triad of bowties