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Computing the Minimum Approximate λ-Cover of a String

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4209))

Abstract

This paper studies the minimum approximate λ-cover problem of a string. Given a string x of length n and an integer λ, the minimum approximate λ-cover problem is to find a set of λ substrings of equal length that covers x with the minimum error, under a variety of distance models including the Hamming distance, the edit distance and the weighted edit distance. We present an algorithm that can solve this problem in polynomial time.

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References

  1. Apostolico, A., Farach, M., Iliopoulos, C.S.: Optimal superprimitivity testing for strings. Information Processing Letters 39, 17–20 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  2. Breslauer, D.: An online string superprimitivity test. Information Processing Letters 44, 345–347 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  3. Christodoulakis, M., Iliopoulos, C.S., Park, K., Sim, J.S.: Approximate seeds of strings. In: Proc. of the 2003 Prague Stringology Conference (PSC 2003), pp. 25–36 (2003)

    Google Scholar 

  4. Crochemore, M.: An Optimal Algorithm for Computing the Repetitions in a Word. Information Processing Letters 12(5), 244–250 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  5. Iliopoulos, C.S., Park, K.: An optimal O(loglogn) time algorithm for parellel superprimitivity testing. J. of the Korean Information Science Society 21(8), 1400–1404 (1994)

    Google Scholar 

  6. Kim, S.-R., Park, K.: A dynamic edit distance table. In: Giancarlo, R., Sankoff, D. (eds.) CPM 2000. LNCS, vol. 1848, pp. 60–68. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Li, Y., Smyth, W.F.: Computing the cover array in linear time. Algorithmica 32(1), 95–106 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  8. Moore, D.W.G., Smyth, W.F.: A correction to Computing the covers of a string in linear time. Information Processing Letters 54, 101–103 (1995)

    Article  Google Scholar 

  9. Sim, J.S., Iliopoulos, C.S., Park, K., Smyth, W.F.: Approximate periods of strings. Theoretical Computer Science 262, 557–568 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  10. Sim, J.S., Park, K., Kim, S., Lee, J.: Finding approximate covers of strings. Journal of Korea Information Science Society 29(1), 16–21 (2002)

    Google Scholar 

  11. Zhang, H., Guo, Q., Iliopoulos, C.S.: Computing the λ-covers of a string. In: AWOCA (accepted, 2006)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Guo, Q., Zhang, H., Iliopoulos, C.S. (2006). Computing the Minimum Approximate λ-Cover of a String. In: Crestani, F., Ferragina, P., Sanderson, M. (eds) String Processing and Information Retrieval. SPIRE 2006. Lecture Notes in Computer Science, vol 4209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11880561_5

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  • DOI: https://doi.org/10.1007/11880561_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45774-9

  • Online ISBN: 978-3-540-45775-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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