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- W2811443598 abstract "We show that the problem of deciding whether a collection of polyominoes, each fitting in a 2 x O(log n) rectangle, can be packed into a 3 x n box does not admit a 2^{o(n/log{n})}-time algorithm, unless the Exponential Time Hypothesis fails. We also give an algorithm that attains this lower bound, solving any instance of polyomino packing with total area n in 2^{O(n/log{n})} time. This establishes a tight bound on the complexity of Polyomino Packing, even in a very restricted case. In contrast, for a 2 x n box, we show that the problem can be solved in strongly subexponential time." @default.
- W2811443598 created "2018-07-10" @default.
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- W2811443598 date "2018-06-01" @default.
- W2811443598 modified "2023-09-23" @default.
- W2811443598 title "On the Exact Complexity of Polyomino Packing" @default.
- W2811443598 doi "https://doi.org/10.4230/lipics.fun.2018.9" @default.
- W2811443598 hasPublicationYear "2018" @default.
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