Domino Tatami Covering is NP-complete

Alejandro Erickson; Frank Ruskey

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arXiv · 1305.6669

Domino Tatami Covering is NP-complete

Alejandro Erickson·Frank Ruskey

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Abstract

A covering with dominoes of a rectilinear region is called \emph{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 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.

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Alejandro Erickson, Frank Ruskey. 2013-05-29. Domino Tatami Covering is NP-complete. https://arxiv.org/abs/1305.6669

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