Polyomino convolutions and tiling problems


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Kisisel A.

JOURNAL OF COMBINATORIAL THEORY SERIES A, cilt.95, ss.373-380, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 95 Konu: 2
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1006/jcta.2000.3171
  • Dergi Adı: JOURNAL OF COMBINATORIAL THEORY SERIES A
  • Sayfa Sayıları: ss.373-380

Özet

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.