Upper bounds for the expected length of a longest common subsequence of two binary sequences

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STACS 94 (STACS 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 775))

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Abstract

Let f(n) be the expected length of a longest common subsequence of two random binary sequences of length n. It is known that the limit c=lim f(n)/n exists. Improved upper bounds for c are given n→∞ using a new method.

This author was supported by an East European Scholarship from the University of Warwick and an ORS Award from the CVCP.

This author was partially supported by the ESPRIT II BRA Programme of the EC under contract 7141 (ALCOM II).

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References

  1. Václav Chvátal and David Sankoff. Longest common subsequence of two random sequences. Journal of Applied Probability, 12:306–315, 1975.

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  2. Joseph G. Deken. Some limit results for longest common subsequences. Discrete Mathematics, 26:17–31, 1979.

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  3. Joseph G. Deken. Probabilistic behavior of longest-common-subsequence length. In D. Sankoff and J. B. Kruskal, editors, Time Warps, String Edits, and Macromolecules: The theory and practice of sequence comparison, chapter 16, pages 359–362. Addison-Wesley, Reading, Mass, 1983.

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Patrice Enjalbert Ernst W. Mayr Klaus W. Wagner

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© 1994 Springer-Verlag Berlin Heidelberg

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Dančík, V., Paterson, M. (1994). Upper bounds for the expected length of a longest common subsequence of two binary sequences. In: Enjalbert, P., Mayr, E.W., Wagner, K.W. (eds) STACS 94. STACS 1994. Lecture Notes in Computer Science, vol 775. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57785-8_180

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  • DOI: https://doi.org/10.1007/3-540-57785-8_180

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57785-0

  • Online ISBN: 978-3-540-48332-8

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