[go: up one dir, main page]

Skip to main content

Suffix Array of Alignment: A Practical Index for Similar Data

  • Conference paper
String Processing and Information Retrieval (SPIRE 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8214))

Included in the following conference series:

Abstract

The suffix tree of alignment is an index data structure for similar strings. Given an alignment of similar strings, it stores all suffixes of the alignment, called alignment-suffixes. An alignment-suffix represents one suffix of a string or suffixes of multiple strings starting at the same position in the alignment. The suffix tree of alignment makes good use of similarity in strings theoretically. However, suffix trees are not widely used in biological applications because of their huge space requirements, and instead suffix arrays are used in practice.

In this paper we propose a space-economical version of the suffix tree of alignment, named the suffix array of alignment (SAA). Given an alignment ρ of similar strings, the SAA for ρ is a lexicographically sorted list of all the alignment-suffixes of ρ. The SAA supports pattern search as efficiently as the generalized suffix array. Our experiments show that our index uses only 14% of the space used by the generalized suffix array to index 11 human genome sequences. The space efficiency of our index increases as the number of the genome sequences increases. We also present an efficient algorithm for constructing the SAA.

The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-3-319-02432-5_33

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Abouelhoda, M.I., Kurtz, S., Ohlebusch, E.: Replacing suffix trees with enhanced suffix arrays. Journal of Discrete Algorithms 2(1), 53–86 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  2. Apostolico, A.: The myriad virtues of subword trees. In: Apostolico, A., Galil, Z. (eds.) Combinatorial Algorithms on Words, pp. 85–95. Springer (1985)

    Google Scholar 

  3. Burrows, M., Wheeler, D.J.: A block-sorting lossless data compression algorithm. Technical Report 124, Digital Equipment Corporation, Paolo Alto, California (1994)

    Google Scholar 

  4. The 1000 Genomes Project Consortium. A map of human genome variation from population-scale sequencing. Nature 467(7319), 1061–1073 (2010)

    Google Scholar 

  5. Do, H.H., Jansson, J., Sadakane, K., Sung, W.-K.: Fast relative lempel-ziv self-index for similar sequences. In: Snoeyink, J., Lu, P., Su, K., Wang, L. (eds.) AAIM 2012 and FAW 2012. LNCS, vol. 7285, pp. 291–302. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  6. Ferragina, P., Manzini, G.: Indexing compressed text. Journal of the ACM 52(4), 552–581 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  7. Grossi, R., Vitter, J.S.: Compressed suffix arrays and suffix trees with applications to text indexing and string matching. SIAM Journal on Computing 35(2), 378–407 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  8. Gusfield, D.: Algorithms on Strings, Tree, and Sequences. Cambridge University Press, Cambridge (1997)

    Book  MATH  Google Scholar 

  9. Huang, S., Lam, T.W., Sung, W.K., Tam, S.L., Yiu, S.M.: Indexing similar DNA sequences. In: Chen, B. (ed.) AAIM 2010. LNCS, vol. 6124, pp. 180–190. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Kärkkäinen, J., Sanders, P., Burkhardt, S.: Linear work suffix array construction. Journal of the ACM 53(6), 918–936 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Kim, D.K., Kim, M., Park, H.: Linearized suffix tree: an efficient index data structure with the capabilities of suffix trees and suffix arrays. Algorithmica 52(3), 350–377 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  12. Kim, D.K., Sim, J.S., Park, H., Park, K.: Constructing suffix arrays in linear time. Journal of Discrete Algorithms 3(2-4), 126–142 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Ko, P., Aluru, S.: Space efficient linear time construction of suffix arrays. Journal of Discrete Algorithms 3(2-4), 143–156 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  14. Kreft, S., Navarro, G.: On compressing and indexing repetitive sequences. Theoretical Computer Science 483, 115–133 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  15. Kuruppu, S., Puglisi, S.J., Zobel, J.: Relative lempel-ziv compression of genomes for large-scale storage and retrieval. In: Chavez, E., Lonardi, S. (eds.) SPIRE 2010. LNCS, vol. 6393, pp. 201–206. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  16. Mäkinen, V., Navarro, G., Sirén, J., Välimäki, N.: Storage and retrieval of individual genomes. In: Batzoglou, S. (ed.) RECOMB 2009. LNCS, vol. 5541, pp. 121–137. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  17. Mäkinen, V., Navarro, G., Sirén, J., Välimäki, N.: Storage and retrieval of highly repetitive sequence collections. Journal of Computational Biology 17(3), 281–308 (2010)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  19. Na, J.C., Crochemore, M., Park, H., Holub, J., Iliopoulos, C.S., Mouchard, L., Park, K.: Suffix tree of alignment: An efficient index for similar data. In: Proceedings of IWOCA 2013 (2013)

    Google Scholar 

  20. Navarro, G.: Indexing highly repetitive collections. In: Smyth, B. (ed.) IWOCA 2012. LNCS, vol. 7643, pp. 274–279. Springer, Heidelberg (2012)

    Google Scholar 

  21. Ziv, J., Lempel, A.: A universal algorithm for sequential data compression. IEEE Transactions on Information Theory 23(3), 337–343 (1977)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Na, J.C. et al. (2013). Suffix Array of Alignment: A Practical Index for Similar Data. In: Kurland, O., Lewenstein, M., Porat, E. (eds) String Processing and Information Retrieval. SPIRE 2013. Lecture Notes in Computer Science, vol 8214. Springer, Cham. https://doi.org/10.1007/978-3-319-02432-5_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-02432-5_27

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02431-8

  • Online ISBN: 978-3-319-02432-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics