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Faster Lyndon Factorization Algorithms for SLP and LZ78 Compressed Text

  • Tomohiro I
  • Yuto Nakashima
  • Shunsuke Inenaga
  • Hideo Bannai
  • Masayuki Takeda
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8214)

Abstract

We present two efficient algorithms which, given a compressed representation of a string w of length N, compute the Lyndon factorization of w. Given a straight line program (SLP) \(\mathcal{S}\) of size n and height h that describes w, the first algorithm runs in O(nh(n + logN logn)) time and O(n 2) space. Given the Lempel-Ziv 78 encoding of size s for w, the second algorithm runs in O(s logs) time and space.

Keywords

Binary Search Derivation Tree Factorization Algorithm String Comparison Straight Line Program 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Tomohiro I
    • 1
    • 2
  • Yuto Nakashima
    • 1
  • Shunsuke Inenaga
    • 1
  • Hideo Bannai
    • 1
  • Masayuki Takeda
    • 1
  1. 1.Department of InformaticsKyushu UniversityJapan
  2. 2.Japan Society for the Promotion of Science (JSPS)Japan

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