Domino tilings of Aztec octagons

DOI10.1007/s00373-023-02645-9OpenAlexW4362664792MaRDI QIDQ2701403

Hyunggi Kim, Seungsang Oh, Sangyop Lee

Publication date: 28 April 2023

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-023-02645-9

zbMATH Keywords

domino tilingperfect matchingAztec diamondDelannoy path

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (1)

Augmented Aztec bipyramid and dicube tilings

Cites Work

• A bijection proving the Aztec diamond theorem by combing lattice paths
• Binomial determinants, paths, and hook length formulae
• Alternating-sign matrices and domino tilings. I
• Remark on the dimer problem
• Domino tilings of the expanded Aztec diamond
• State matrix recursion method and monomer-dimer problem
• A simple proof of the Aztec diamond theorem
• Perfect matchings of cellular graphs
• Domino tilings for augmented Aztec rectangles and their chains
• Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
• A new simple proof of the Aztec diamond theorem
• Enumeration of structure-sensitive graphical subsets: Theory
• Enumeration of structure-sensitive graphical subsets: Calculations
• Handbook of Enumerative Combinatorics
• On the Vector Representations of Induced Matroids
• Unnamed Item
• Unnamed Item

This page was built for publication: Domino tilings of Aztec octagons