Asymptotic Analysis and Random Sampling of Digitally Convex Polyominoes

  • O. Bodini
  • Ph. Duchon
  • A. Jacquot
  • L. Mutafchiev
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7749)

Abstract

Recent work of Brlek et al. gives a characterization of digitally convex polyominoes using combinatorics on words. From this work, we derive a combinatorial symbolic description of digitally convex polyominoes and use it to analyze their limit properties and build a uniform sampler. Experimentally, our sampler shows a limit shape for large digitally convex polyominoes.

Keywords

Boltzmann Distribution Limit Shape Combinatorial Class Coprime Integer Standard Decomposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • O. Bodini
    • 1
  • Ph. Duchon
    • 2
  • A. Jacquot
    • 1
  • L. Mutafchiev
    • 3
    • 4
  1. 1.LIPNUniversité Paris 13VilletaneuseFrance
  2. 2.LaBRITalence cedexFrance
  3. 3.American University in BulgariaBlagoevgradBulgaria
  4. 4.Institute of Mathematics and InformaticsSofiaBulgaria

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