License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2019.66
URN: urn:nbn:de:0030-drops-110109
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11010/
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Clifford, Raphaƫl ; Gawrychowski, Pawel ; Kociumaka, Tomasz ; Martin, Daniel P. ; Uznanski, Przemyslaw

RLE Edit Distance in Near Optimal Time

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LIPIcs-MFCS-2019-66.pdf (0.5 MB)


Abstract

We show that the edit distance between two run-length encoded strings of compressed lengths m and n respectively, can be computed in O(mn log(mn)) time. This improves the previous record by a factor of O(n/log(mn)). The running time of our algorithm is within subpolynomial factors of being optimal, subject to the standard SETH-hardness assumption. This effectively closes a line of algorithmic research first started in 1993.

BibTeX - Entry

@InProceedings{clifford_et_al:LIPIcs:2019:11010,
  author =	{Rapha{\"e}l Clifford and Pawel Gawrychowski and Tomasz Kociumaka and Daniel P. Martin and Przemyslaw Uznanski},
  title =	{{RLE Edit Distance in Near Optimal Time}},
  booktitle =	{44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)},
  pages =	{66:1--66:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-117-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{138},
  editor =	{Peter Rossmanith and Pinar Heggernes and Joost-Pieter Katoen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11010},
  URN =		{urn:nbn:de:0030-drops-110109},
  doi =		{10.4230/LIPIcs.MFCS.2019.66},
  annote =	{Keywords: String algorithms, Compression, Pattern matching, Run-length encoding}
}

Keywords: String algorithms, Compression, Pattern matching, Run-length encoding
Collection: 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)
Issue Date: 2019
Date of publication: 20.08.2019


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