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DOI: 10.4230/LIPIcs.CPM.2017.23

Palindromic Length in Linear Time

Authors: Kirill Borozdin, Dmitry Kosolobov, Mikhail Rubinchik, and Arseny M. Shur

Published in: LIPIcs, Volume 78, 28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017)

Abstract

Palindromic length of a string is the minimum number of palindromes whose concatenation is equal to this string. The problem of finding the palindromic length drew some attention, and a few O(n log n) time online algorithms were recently designed for it. In this paper we present the first linear time online algorithm for this problem.

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Kirill Borozdin, Dmitry Kosolobov, Mikhail Rubinchik, and Arseny M. Shur. Palindromic Length in Linear Time. In 28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 78, pp. 23:1-23:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{borozdin_et_al:LIPIcs.CPM.2017.23,
  author =	{Borozdin, Kirill and Kosolobov, Dmitry and Rubinchik, Mikhail and Shur, Arseny M.},
  title =	{{Palindromic Length in Linear Time}},
  booktitle =	{28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017)},
  pages =	{23:1--23:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-039-2},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{78},
  editor =	{K\"{a}rkk\"{a}inen, Juha and Radoszewski, Jakub and Rytter, Wojciech},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2017.23},
  URN =		{urn:nbn:de:0030-drops-73389},
  doi =		{10.4230/LIPIcs.CPM.2017.23},
  annote =	{Keywords: palindrome, palindromic length, palindromic factorization, online}
}

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Palindromic Length in Linear Time

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