Graphs of Tilings

نویسندگان

  • Patrick Callahan
  • Silvia Heubach
چکیده

For a given finite set of tiles and a strip of fixed height we describe how to obtain the associated (finite directed) graph that encodes the structure of the set of all possible tilings. We then consider possible constraints on such graphs and introduce and give some preliminary results on the reverse question: Given a graph, does there exist a set of tiles and a fixed height such that the corresponding set of tilings would generate the given graph?

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تاریخ انتشار 2006