Skip to main content

Complexity of common subsequence problems

  • Section C Computability, Decidability & Arithmetic Complexity
  • Conference paper
  • First Online:
Fundamentals of Computation Theory (FCT 1977)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 56))

Included in the following conference series:

  • 326 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arlazarov, V.L., E.A. Dinic, M.A. Kronrod and I.A. Faradzev. On Economic Construction of the Transitive Closure of a Directed Graph. Dokl. Akad. Nauk SSSR 194, 1970, pp.487–488 (in Russian). English translation in Soviet Math. Dokl. 11:5. pp.1209–1210.

    Google Scholar 

  2. Aho, A.V., D.S. Hirschberg and J.D. Ullman. Bounds on the Complexity of the Longest Common Subsequence Problem. J.ACM 23:1, January 1976, pp.1–12.

    Google Scholar 

  3. Aho, A.V., J.E. Hopcroft and J.D. Ullman. The Design and Analysis of Computer Algorithms. Addison-Wesley, 1974.

    Google Scholar 

  4. Chvatal, V. and D. Sankoff. Longest Common Subsequences of Two Random Sequences. STAN-CS-75-477, Stanford University, Stanford, California, January 1975.

    Google Scholar 

  5. Hirschberg, D.S. A Linear Space Algorithm for Computing Maximal Common Subsequences. Comm. ACM 18:6, June 1975, pp.341–343.

    Google Scholar 

  6. Hirschberg, D.S. Algorithms for the Longest Common Subsequence Problem. J.ACM to appear.

    Google Scholar 

  7. Hirschberg, D.S. The Longest Common Subsequence Problem. PhD thesis, Princeton University, Princeton, N.J., August 1975.

    Google Scholar 

  8. Hirschberg, D.S. manuscript in preparation.

    Google Scholar 

  9. Karp, R.M. Reducibility Among Combinatorial Problems. In Complexity of Computer Computations. R.E. Miller and J.W. Thatcher, eds., Plenum Press, New York, 1972, pp.85–103.

    Google Scholar 

  10. Lowrance, R. and R.A. Wagner. An Extension of String-to-String Correction Problem. J.ACM 22:2, April 1975, pp.177–183.

    Google Scholar 

  11. Maier, D. The Complexity of some problems on Subsequences and Supersequences. TR-219, Computer Science Laboratory, Princeton University, November 1976.

    Google Scholar 

  12. Maier, D. private communication.

    Google Scholar 

  13. Morris, J.H. and V.R. Pratt. A Linear Pattern-Matching Algorithm. TR-40, Computing Center, University of California at Berkeley, 1970.

    Google Scholar 

  14. Needleman, S.B., and C.D. Wunsch. A General Method Applicable to the Search for Similarities in the Amino Acid Sequence of Two Proteins. J.Mol. Biology 48, pp. 443–453.

    Google Scholar 

  15. Paterson, M.S. Unpublished manuscript. University of Warwick, England, 1974.

    Google Scholar 

  16. Sankoff, D. Matching Sequences Under Deletion/Insertion Constraints. Proc. Nat. Acad. Sci. USA 69, 1, January 1972, pp.4–6.

    Google Scholar 

  17. Szymanski, T.G. A Special Case of the Maximal Common Subsequence Problem. TR-170, Computer Sciences Laboratory, Princeton University, January 1975.

    Google Scholar 

  18. van Emde Boas, P. An O(n log log n) On-line Algorithm for the Insert-Extract Min Problem. TR 74-221, Dept. of Computer Science, Cornell Univ., Ithaca, New York, December 1974.

    Google Scholar 

  19. van Emde Boas, P. Preserving Order in a Forest in less than Logarithmic Time. Preceedings of the 16th Annual Symposium on the Foundations of Computer Science, October 1975, pp.75–84.

    Google Scholar 

  20. Wagner, R.A. On the Complexity of the Extended String-to-String Correction Problem. Proceedings of the Seventh Annual ACM Symposium on Theory of Computing, 1975, pp. 218–223.

    Google Scholar 

  21. Wong, C.K. and A.K. Chandra. Bounds for the String Editing Problem. J. ACM 23:1, January 1976, pp. 13–16.

    Google Scholar 

  22. Weiner, P. Linear Pattern Matching Algorithms. 14th SWAT (1973), pp.1–11.

    Google Scholar 

  23. Wagner, R.A. and M.J. Fischer. The String-to-String Correction Problem. J. ACM 21:1, January 1974, pp.168–173.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marek Karpiński

Rights and permissions

Reprints and permissions

Copyright information

© 1977 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hirschberg, D.S. (1977). Complexity of common subsequence problems. In: Karpiński, M. (eds) Fundamentals of Computation Theory. FCT 1977. Lecture Notes in Computer Science, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08442-8_107

Download citation

  • DOI: https://doi.org/10.1007/3-540-08442-8_107

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08442-6

  • Online ISBN: 978-3-540-37084-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics