Counting dissections into integral squares

DOI10.1016/j.disc.2022.112803zbMath1484.52011OpenAlexW4205362234MaRDI QIDQ2113355

Seungsang Oh

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.disc.2022.112803

zbMATH Keywords

tilingdissectionsquared rectanglerectangled rectangle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of tessellation and tiling problems (05B45) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Uses Software

• OEIS

Cites Work

• Enumerating independent vertex sets in grid graphs
• Simple perfect squared square of lowest order
• Square tilings with prescribed combinatorics
• State matrix recursion method and monomer-dimer problem
• Quantum knots and the number of knot mosaics
• Number of dominating sets in cylindric square grid graphs
• Maximal independent sets on a grid graph
• Squaring the Square
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