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Alphabet-Independent Compressed Text Indexing

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Algorithms – ESA 2011 (ESA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6942))

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Abstract

Self-indexes can represent a text in asymptotically optimal space under the k-th order entropy model, give access to text substrings, and support indexed pattern searches. Their time complexities are not optimal, however: they always depend on the alphabet size. In this paper we achieve, for the first time, full alphabet-independence in the time complexities of self-indexes, while retaining space optimality. We obtain also some relevant byproducts on compressed suffix trees.

Partially funded by the Millennium Institute for Cell Dynamics and Biotechnology (ICDB), Grant ICM P05-001-F, Mideplan, Chile. First author also partially supported by the French ANR-2010-COSI-004 MAPPI Project.

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References

  1. Apostolico, A.: The myriad virtues of subword trees. In: Combinatorial Algorithms on Words. NATO ISI Series, pp. 85–96. Springer, Heidelberg (1985)

    Chapter  Google Scholar 

  2. Barbay, J., Gagie, T., Navarro, G., Nekrich, Y.: Alphabet partitioning for compressed rank/Select and applications. In: Cheong, O., Chwa, K.-Y., Park, K. (eds.) ISAAC 2010, Part II. LNCS, vol. 6507, pp. 315–326. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  3. Barbay, J., He, M., Munro, J.I., Rao, S.S.: Succinct indexes for strings, binary relations and multi-labeled trees. In: SODA, pp. 680–689 (2007)

    Google Scholar 

  4. Belazzougui, D., Boldi, P., Pagh, R., Vigna, S.: Monotone minimal perfect hashing: searching a sorted table with o(1) accesses. In: SODA, pp. 785–794 (2009)

    Google Scholar 

  5. Belazzougui, D., Boldi, P., Pagh, R., Vigna, S.: Theory and practise of monotone minimal perfect hashing. In: ALENEX (2009)

    Google Scholar 

  6. Burrows, M., Wheeler, D.: A block sorting lossless data compression algorithm. Technical Report 124, Digital Equipment Corporation (1994)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  8. Ferragina, P., Grossi, R.: The string b-tree: A new data structure for string search in external memory and its applications. J. ACM 46(2), 236–280 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  9. Ferragina, P., Manzini, G.: Opportunistic data structures with applications. In: FOCS, pp. 390–398 (2000)

    Google Scholar 

  10. Ferragina, P., Manzini, G.: Indexing compressed text. J. ACM 52(4), 552–581 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  11. Ferragina, P., Manzini, G., Mäkinen, V., Navarro, G.: Compressed representations of sequences and full-text indexes. ACM Trans. Alg. 3(2), article 20 (2007)

    Google Scholar 

  12. Gagie, T.: Large alphabets and incompressibility. Inf. Proc. Lett. 99(6), 246–251 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  13. Golynski, A., Munro, J.I., Rao, S.S.: Rank/select operations on large alphabets: a tool for text indexing. In: SODA, pp. 368–373 (2006)

    Google Scholar 

  14. Grossi, R., Gupta, A., Vitter, J.: High-order entropy-compressed text indexes. In: SODA, pp. 841–850 (2003)

    Google Scholar 

  15. Grossi, R., Orlandi, A., Raman, R.: Optimal trade-offs for succinct string indexes. In: Abramsky, S., Gavoille, C., Kirchner, C., Meyer auf der Heide, F., Spirakis, P.G. (eds.) ICALP 2010. LNCS, vol. 6198, pp. 678–689. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  16. Grossi, R., Vitter, J.: Compressed suffix arrays and suffix trees with applications to text indexing and string matching. In: STOC, pp. 397–406 (2000)

    Google Scholar 

  17. Lee, S., Park, K.: Dynamic rank-select structures with applications to run-length encoded texts. In: Ma, B., Zhang, K. (eds.) CPM 2007. LNCS, vol. 4580, pp. 95–106. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  18. Manber, U., Myers, G.: Suffix arrays: a new method for on-line string searches. SIAM J. Comp. 22(5), 935–948 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  19. Manzini, G.: An analysis of the Burrows-Wheeler transform. J. ACM 48(3), 407–430 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  20. Munro, I.: Tables. In: Chandru, V., Vinay, V. (eds.) FSTTCS 1996. LNCS, vol. 1180, pp. 37–42. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  21. Navarro, G., Mäkinen, V.: Compressed full-text indexes. ACM Comp. Surv. 39(1), article 2 (2007)

    Google Scholar 

  22. Raman, R., Raman, V., Rao, S.: Succinct indexable dictionaries with applications to encoding k-ary trees and multisets. In: SODA, pp. 233–242 (2002)

    Google Scholar 

  23. Sadakane, K.: Compressed text databases with efficient query algorithms based on the compressed suffix array. In: Lee, D.T., Teng, S.-H. (eds.) ISAAC 2000. LNCS, vol. 1969, pp. 295–321. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  24. Sadakane, K.: New text indexing functionalities of the compressed suffix arrays. J. Alg. 48(2), 294–313 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  25. Sadakane, K.: Compressed suffix trees with full functionality. Theo. Comp. Sys. 41(4), 589–607 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  26. Sadakane, K., Navarro, G.: Fully-functional succinct trees. In: SODA, pp. 134–149 (2010)

    Google Scholar 

  27. Weiner, P.: Linear pattern matching algorithm. In: Proc. Ann. IEEE Symp. on Switching and Automata Theory, pp. 1–11 (1973)

    Google Scholar 

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Belazzougui, D., Navarro, G. (2011). Alphabet-Independent Compressed Text Indexing. In: Demetrescu, C., Halldórsson, M.M. (eds) Algorithms – ESA 2011. ESA 2011. Lecture Notes in Computer Science, vol 6942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23719-5_63

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  • DOI: https://doi.org/10.1007/978-3-642-23719-5_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23718-8

  • Online ISBN: 978-3-642-23719-5

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