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Domino Tatami Covering Is NP-Complete

  • Alejandro Erickson
  • Frank Ruskey
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8288)

Abstract

A covering with dominoes of a rectilinear region is called tatami if no four dominoes meet at any point. We describe a reduction from planar 3SAT to Domino Tatami Covering. As a consequence it is therefore NP-complete to decide whether there is a perfect matching of a graph that meets every 4-cycle, even if the graph is restricted to be an induced subgraph of the grid-graph. The gadgets used in the reduction were discovered with the help of a SAT-solver.

Keywords

Boolean Formula Horizontal Edge Satisfying Assignment Domino Tiling Variable Gadget 
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

  • Alejandro Erickson
    • 1
  • Frank Ruskey
    • 1
  1. 1.Department of Computer ScienceUniversity of VictoriaCanada

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