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Algorithms 2009, 2(4), 1429-1448; doi:10.3390/a2041429
Article

Linear-Time Text Compression by Longest-First Substitution

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Received: 30 September 2009 / Accepted: 20 November 2009 / Published: 25 November 2009
(This article belongs to the Special Issue Data Compression)
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Abstract

We consider grammar-based text compression with longest first substitution (LFS), where non-overlapping occurrences of a longest repeating factor of the input text are replaced by a new non-terminal symbol. We present the first linear-time algorithm for LFS. Our algorithm employs a new data structure called sparse lazy suffix trees. We also deal with a more sophisticated version of LFS, called LFS2, that allows better compression. The first linear-time algorithm for LFS2 is also presented.
Keywords: grammar-based text compression; suffix trees; linear-time algorithms grammar-based text compression; suffix trees; linear-time algorithms
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Nakamura, R.; Inenaga, S.; Bannai, H.; Funamoto, T.; Takeda, M.; Shinohara, A. Linear-Time Text Compression by Longest-First Substitution. Algorithms 2009, 2, 1429-1448.

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