Enumeration of tilings of quartered Aztec rectangles

zbMath1305.05012arXiv1403.4493MaRDI QIDQ490259

Tri Lai

Publication date: 22 January 2015

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

Full work available at URL: https://arxiv.org/abs/1403.4493

zbMATH Keywords

domino tilingsperfect matchingsAztec diamondsquartered Aztec diamonds

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Algebraic combinatorics (05E99) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial aspects of tessellation and tiling problems (05B45)

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Enumeration of antisymmetric monotone triangles and domino tilings of quartered Aztec rectangles, Enumeration of hybrid domino-lozenge tilings. II: Quasi-octagonal regions, Lozenge Tilings of a Halved Hexagon with an Array of Triangles Removed from the Boundary, Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary. II, Refined enumeration of halved monotone triangles and applications to vertically symmetric alternating sign trapezoids, A shuffling theorem for reflectively symmetric tilings, A simple explanation for the ``shuffling phenomenon for lozenge tilings of dented hexagons, Tiling generating functions of halved hexagons and quartered hexagons, Plane partitions of shifted double staircase shape, Hook formulas for skew shapes. III: Multivariate and product formulas, Enumeration of Hybrid Domino-Lozenge Tilings III: Centrally Symmetric Tilings, A new proof for the number of Lozenge tilings of quartered hexagons, Double Aztec rectangles

Cites Work

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