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Polyomino convolutions and tiling problems
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Date
2001-08-01
Author
Kişisel, Ali Ulaş Özgür
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We define a convolution operation on the set of polyominoes and use it to obtain a criterion for a given polyomino not to tile the plane (rotations and translations allowed). We apply the criterion to several families of polyominoes and show that the criterion detects some cases that are not detectable by generalized coloring arguments. (C) 2001 Academic Press.
Subject Keywords
Theoretical Computer Science
,
Computational Theory and Mathematics
,
Discrete Mathematics and Combinatorics
URI
https://hdl.handle.net/11511/36739
Journal
JOURNAL OF COMBINATORIAL THEORY SERIES A
DOI
https://doi.org/10.1006/jcta.2000.3171
Collections
Department of Mathematics, Article
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A. U. Ö. Kişisel, “Polyomino convolutions and tiling problems,”
JOURNAL OF COMBINATORIAL THEORY SERIES A
, pp. 373–380, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36739.