The complexity of generalized domino tilings

Tiling planar regions with dominoes is a classical problem in which the decision and counting problems are polynomial. We prove a variety of hardness results (both NP- and #P-completeness) for different generalizations of dominoes in three and higher dimensions.

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Hauptverfasser: Pak, Igor, Yang, Jed
Format: Artikel
Sprache:eng
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Zusammenfassung:Tiling planar regions with dominoes is a classical problem in which the decision and counting problems are polynomial. We prove a variety of hardness results (both NP- and #P-completeness) for different generalizations of dominoes in three and higher dimensions.
DOI:10.48550/arxiv.1305.2154