Abstract | ||
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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. |
Year | DOI | Venue |
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2013 | 10.1007/978-3-642-45278-9_13 | IWOCA |
DocType | Volume | Citations |
Conference | abs/1305.6669 | 0 |
PageRank | References | Authors |
0.34 | 11 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alejandro Erickson | 1 | 14 | 5.84 |
Frank Ruskey | 2 | 906 | 116.61 |