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We proceed in rounds each round consisting of sorting the columns of the grid, and, in the second phase, of sorting the rows according to the snake-like ordering. We exactly characterize the number of rounds necessary to sort on an l × m-grid in the worst case, where l is the number of the rows and m the number of the columns. An upper bound of ⌈ log l⌉ + 1was known before. This bound is tight for the case that m is not a power of 2. Surprisingly, it turns out that far fewer rounds are necessary if m is a power of 2 (and m ≪ l) in this case, exactly min { log m + 1, ⌈ log l⌉ + 1} rounds are needed in the worst case.","lang":"eng"}],"type":"journal_article","citation":{"ieee":"M. Kutylowski and R. Wanka, “Periodic Sorting on Two-Dimensional Meshes,” Parallel Processing Letters 2, pp. 213–220, 1992, doi: 10.1142/s0129626492000349.","short":"M. Kutylowski, R. 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