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A Sparse Corner-Difference MILP for Minimum Square Tiling

Yu, Zhuo et al.
arXiv (All) · Papers
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optimization-and-control
We study the problem of tiling an $N\times N$ square with axis-aligned squares whose side lengths are integers strictly less than $N$, with the objective of minimizing the number of tiles. The standard placement-based exact-cover MILP contains $Θ(N^5)$ placement-to-cell nonzero coefficients and is a
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