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.CPM.2019.25
URN: urn:nbn:de:0030-drops-104961
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10496/
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Alzamel, Mai ; Crochemore, Maxime ; Iliopoulos, Costas S. ; Kociumaka, Tomasz ; Radoszewski, Jakub ; Rytter, Wojciech ; Straszynski, Juliusz ; Walen, Tomasz ; Zuba, Wiktor

Quasi-Linear-Time Algorithm for Longest Common Circular Factor

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LIPIcs-CPM-2019-25.pdf (0.6 MB)

Abstract

We introduce the Longest Common Circular Factor (LCCF) problem in which, given strings S and T of length at most n, we are to compute the longest factor of S whose cyclic shift occurs as a factor of T. It is a new similarity measure, an extension of the classic Longest Common Factor. We show how to solve the LCCF problem in O(n log^4 n) time using O(n log^2 n) space.

BibTeX - Entry

@InProceedings{alzamel_et_al:LIPIcs:2019:10496,
  author =	{Mai Alzamel and Maxime Crochemore and Costas S. Iliopoulos and Tomasz Kociumaka and Jakub Radoszewski and Wojciech Rytter and Juliusz Straszynski and Tomasz Walen and Wiktor Zuba},
  title =	{{Quasi-Linear-Time Algorithm for Longest Common Circular Factor}},
  booktitle =	{30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019)},
  pages =	{25:1--25:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-103-0},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{128},
  editor =	{Nadia Pisanti and Solon P. Pissis},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10496},
  URN =		{urn:nbn:de:0030-drops-104961},
  doi =		{10.4230/LIPIcs.CPM.2019.25},
  annote =	{Keywords: longest common factor, circular pattern matching, internal pattern matching, intersection of hyperrectangles}
}

Keywords: longest common factor, circular pattern matching, internal pattern matching, intersection of hyperrectangles
Collection: 30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019)
Issue Date: 2019
Date of publication: 06.06.2019

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