Abstract
We consider the problem of sorting N-element inputs differing from already sorted sequences on t entries. To perform this task we construct a comparator network that is applied periodically. The two constructions for this problem made by previous authors required O(log n + t) iterations of the network. Our construction requires O(log n + (log log N)2 (log t)3) iterations which makes it faster for t ≫ log N.
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Stachowiak, G. (2003). Fast Periodic Correction Networks. In: Lingas, A., Nilsson, B.J. (eds) Fundamentals of Computation Theory. FCT 2003. Lecture Notes in Computer Science, vol 2751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45077-1_14
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DOI: https://doi.org/10.1007/978-3-540-45077-1_14
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