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Nonemptiness problems of Wang tiles with three colors

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Publication:2253197
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DOI10.1016/j.tcs.2014.06.015zbMath1420.05053OpenAlexW2003533938MaRDI QIDQ2253197

De-Jan Lai, Song-Sun Lin, Wen-Guei Hu, Hung-Hsun Chen

Publication date: 25 July 2014

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2014.06.015


zbMATH Keywords

edge coloringdecidabilitytransition matrixnonemptinessWang tilesperiodic patterns


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)


Related Items

Nonemptiness problems of Wang cubes with two colors ⋮ Unnamed Item ⋮ An aperiodic set of 11 Wang tiles ⋮ Spatial chaos of Wang tiles with two symbols



Cites Work

  • Unnamed Item
  • Unnamed Item
  • An aperiodic set of 13 Wang tiles
  • A small aperiodic set of Wang tiles
  • Patterns generation and spatial entropy in two-dimensional lattice models
  • Undecidability and nonperiodicity for tilings of the plane
  • Patterns generation and transition matrices in multi-dimensional lattice models
  • Nonemptiness problems of plane square tiling with two colors
  • Zeta functions for two-dimensional shifts of finite type
  • The undecidability of the domino problem
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