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Compressed Text Indexing

2005; Ferragina, Manzini

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Keywords and Synonyms

Space-efficient text indexing; Compressed full-text indexing; Self-indexing

Problem Definition

Given a text string \( { T = t_1 t_2 \dots t_n } \) over an alphabet Σ of size σ, the compressed text indexing (CTI) problem asks to replace T with a space-efficient data structure capable of efficiently answering basic string matching and substring queries on T. Typical queries required from such an index are the following:

  • \( { count(P) } \): count how many times a given pattern string \( { P = p_1 p_2 \dots p_m } \) occurs in T.

  • \( { locate(P) } \): return the locations where P occurs in T.

  • display(i, j): return \( { T[i,j] } \).

Key Results

An elegant solution to the problem is obtained by exploiting the connection of Burrows-Wheeler Transform (BWT) [1] and Suffix Array data structure [9]. The suffix array \( { SA[1,n] } \) of T is the permutation of text positions \( { (1 \dots n) } \) listing the suffixes \( { T[i,n] } \) in lexicographic order. That is, \( {...


  • Suffix Array
  • Wavelet Tree
  • Text Position
  • Global Query
  • Database Scenario

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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Recommended Reading

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  2. Ferragina, P., Giancarlo, R., Manzini, G., Sciortino, M.: Boosting textual compression in optimal linear time. J. ACM 52(4), 688–713 (2005)

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  4. Ferragina, P., Manzini, G., Mäkinen, V., Navarro, G.: Compressed representation of sequences and full-text indexes. ACM Trans. Algorithms 3(2) Article 20 (2007)

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  5. Grossi, R., Gupta, A., Vitter, J.: High-order entropy-compressed text indexes. In: Proc. 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pp. 841–850 (2003)

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  7. Mäkinen, V., Navarro, G.: Succinct suffix arrays based on run-length encoding. Nord. J. Comput. 12(1), 40–66 (2005)

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  8. Mäkinen, V., Navarro, G.: Dynamic entropy-compressed sequences and full-text indexes. In: Proc. 17th Annual Symposium on Combinatorial Pattern Matching (CPM). LNCS, vol. 4009, pp. 307–318 (2006) Extended version as TR/DCC-2006-10, Department of Computer Science, University of Chile, July 2006

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© 2008 Springer-Verlag

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Mäkinen, V., Navarro, G. (2008). Compressed Text Indexing. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA.

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