A \((0,1)\)-matrix existence theorem and equivalent tiling problems with dimers and monomers

DOI10.1016/j.laa.2015.08.004zbMath1322.05037OpenAlexW1198973080MaRDI QIDQ745216

Curtis Nelson, Bryan L. Shader

Publication date: 13 October 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.08.004

zbMATH Keywords

tiling\((0,1)\)-matrixdimersmonomersGale-Ryser theorem

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of tessellation and tiling problems (05B45) Matrices of integers (15B36)

Cites Work

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• Local statistics for random domino tilings of the Aztec diamond
• Double Aztec diamonds and the tacnode process
• Maximal Flow Through a Network

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