Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary. II

zbMath1409.05019MaRDI QIDQ668029

Tri Lai

Publication date: 5 March 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i4p58

zbMATH Keywords

perfect matchingplane partitionlozenge tilingdual graphgraphical condensation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (5)

Tiling enumeration of hexagons with off-central holes ⋮ Perfect matchings of trimmed Aztec rectangles ⋮ Dungeons and dragons: combinatorics for the \(dP_3\) quiver ⋮ Tiling generating functions of halved hexagons and quartered hexagons ⋮ Lozenge tilings of hexagons with central holes and dents

Cites Work

• Enumeration of tilings of quartered Aztec rectangles
• 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
• Symmetries of plane partitions
• Odd symplectic groups
• Enumeration of Lozenge tilings of hexagons with cut-off corners
• Lozenge tilings of doubly-intruded hexagons
• A new proof for the number of Lozenge tilings of quartered hexagons
• A \(q\)-enumeration of lozenge tilings of a hexagon with four adjacent triangles removed from the boundary
• Lozenge Tilings of a Halved Hexagon with an Array of Triangles Removed from the Boundary
• Enumeration of perfect matchings in graphs with reflective symmetry

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