Periodicity of one-dimensional tilings

  • V. Sidorenko
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 829)


The tiling problem is closely connected with a number of problems of information theory. We show that the Wang-Moore conjecture is valid for the one dimensional case. Namely, any set of templates which permits a tiling of the set ℤ of integers also permits a periodic tiling. We also show that any tiling of ℤ by one template is necessarily periodic. The obtained results are also valid for tiling of the set IR of real numbers.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • V. Sidorenko
    • 1
  1. 1.Institute for Problems of Information TransmissionMoscowRussia

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