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arXiv · 1709.07249

Sorting with Recurrent Comparison Errors

Barbara Geissmann·Stefano Leucci·Chih-Hung Liu·Paolo Penna
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Abstract

We present a sorting algorithm for the case of recurrent random comparison errors. The algorithm essentially achieves simultaneously good properties of previous algorithms for sorting $n$ distinct elements in this model. In particular, it runs in $O(n^2)$ time, the maximum dislocation of the elements in the output is $O(\log n)$, while the total dislocation is $O(n)$. These guarantees are the best possible since we prove that even randomized algorithms cannot achieve $o(\log n)$ maximum dislocation with high probability, or $o(n)$ total dislocation in expectation, regardless of their running time.

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Barbara Geissmann, Stefano Leucci, Chih-Hung Liu, Paolo Penna. 2017-09-21. Sorting with Recurrent Comparison Errors. https://arxiv.org/abs/1709.07249

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