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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2017.38
URN: urn:nbn:de:0030-drops-82652
URL: http://drops.dagstuhl.de/opus/volltexte/2017/8265/
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Geissmann, Barbara ; Leucci, Stefano ; Liu, Chih-Hung ; Penna, Paolo

Sorting with Recurrent Comparison Errors

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LIPIcs-ISAAC-2017-38.pdf (0.5 MB)


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.

BibTeX - Entry

@InProceedings{geissmann_et_al:LIPIcs:2017:8265,
  author =	{Barbara Geissmann and Stefano Leucci and Chih-Hung Liu and Paolo Penna},
  title =	{{Sorting with Recurrent Comparison Errors}},
  booktitle =	{28th International Symposium on Algorithms and Computation (ISAAC 2017)},
  pages =	{38:1--38:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-054-5},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{92},
  editor =	{Yoshio Okamoto and Takeshi Tokuyama},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/8265},
  URN =		{urn:nbn:de:0030-drops-82652},
  doi =		{10.4230/LIPIcs.ISAAC.2017.38},
  annote =	{Keywords: sorting, recurrent comparison error, maximum and total dislocation}
}

Keywords: sorting, recurrent comparison error, maximum and total dislocation
Seminar: 28th International Symposium on Algorithms and Computation (ISAAC 2017)
Issue Date: 2017
Date of publication: 04.12.2017


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