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arXiv · 1703.08627

Random sampling of Latin squares via binary contingency tables and probabilistic divide-and-conquer

Stephen DeSalvo
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Abstract

We demonstrate a novel approach for the random sampling of Latin squares of order~$n$ via probabilistic divide-and-conquer. The algorithm divides the entries of the table modulo powers of $2$, and samples a corresponding binary contingency table at each level. The sampling distribution is based on the Boltzmann sampling heuristic, along with probabilistic divide-and-conquer.

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Stephen DeSalvo. 2017-03-24. Random sampling of Latin squares via binary contingency tables and probabilistic divide-and-conquer. https://arxiv.org/abs/1703.08627

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