4.3 Article

Lempel-Ziv Factorization Powered by Space Efficient Suffix Trees

Journal

ALGORITHMICA
Volume 80, Issue 7, Pages 2048-2081

Publisher

SPRINGER
DOI: 10.1007/s00453-017-0333-1

Keywords

Lempel-Ziv; Lossless compression; Succinct suffix trees

Funding

  1. CREST, JST
  2. Grants-in-Aid for Scientific Research [16K16009, 16H02870] Funding Source: KAKEN

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We show that both the Lempel-Ziv-77 and the Lempel-Ziv-78 factorization of a text of length n on an integer alphabet of size sigma can be computed in O(n) time with either O(n lg sigma) bits of working space, or (1 + epsilon) n lg n + O(n) bits (for a constant epsilon > 0) of working space (including the space for the output, but not the text).

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