On tiling the integers with 4-sets of the same gap sequence

DOI10.1016/j.disc.2017.12.017zbMath1380.05013arXiv1605.03322OpenAlexW2962740534MaRDI QIDQ1699536

Ilkyoo Choi, Junehyuk Jung, Min-Ki Kim

Publication date: 23 February 2018

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

Full work available at URL: https://arxiv.org/abs/1605.03322

zbMATH Keywords

tilingsinteger partitionsgap sequence

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

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• Tilings of lattice points in Euclidean n-space
• Some results on one-dimensional tilings
• One-dimensional tilings using tiles with two gap lengths
• Tilings in \(\mathbb{Z}\) with triples
• Addition theorems for sets of integers
• On the decomposition of the straight line in the congruent three-point sets
• Decomposition of the line in isometric three-point sets
• Checker Boards and Polyominoes

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