Skip to main content

Space Efficient Algorithms for Ordered Tree Comparison

  • Conference paper
Algorithms and Computation (ISAAC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3827))

Included in the following conference series:

  • 1275 Accesses

Abstract

In this paper we present techniques to significantly improve the space complexity of several ordered tree comparison algorithms without sacrificing the corresponding time complexity. We present new algorithms for computing the constrained ordered tree edit distance and the alignment of (ordered) trees. The techniques can also be applied to other related problems.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

References

  1. Bille, P.: A survey on tree edit distance and related problems. Theoretical Computer Science (337), 217–239 (2005)

    Google Scholar 

  2. Cheng, Y.C., Lu, S.Y.: Waveform correlation by tree matching. IEEE Trans. PAMI 7, 299–305 (1985)

    Google Scholar 

  3. Dulucq, S., Touzet, H.: Decomposition algorithm for tree editing distance. Journal of Discrete Algorithms (2004)

    Google Scholar 

  4. Hirschberg, D.S.: A linear space algorithm for computing maximal common subsequences. Communications of the ACM (18), 341–343 (1975)

    Google Scholar 

  5. Jiang, T., Wang, L., Zhang, K.: Alignment of trees - an alternative to tree edit. Theoretical Computer Science 143(1), 137–148 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  6. Klein, P.: Computing the edit-distance between unrooted ordered trees. In: Bilardi, G., Pietracaprina, A., Italiano, G.F., Pucci, G. (eds.) ESA 1998. LNCS, vol. 1461, pp. 91–102. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  7. Richter, T.: A new measure of the distance between ordered trees and its applications. Technical Report 85166-cs, Department of Computer Science, University of Bonn (1997)

    Google Scholar 

  8. Shapiro, B., Zhang, K.: Comparing multiple RNA secondary structures using tree comparisons. Comput. Appl. Biosci. 6(4), 309–318 (1990)

    Google Scholar 

  9. Selkow, S.M.: The tree-to-tree editing problem. Information Processing Letters 6, 184–186 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  10. Tai, K.C.: The tree-to-tree correction problem. J. ACM 26, 422–433 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  11. Wang, L., Zhao, J.: Parametric alignment of ordered trees. Bioinformatics 19, 2237–2245 (2003)

    Article  Google Scholar 

  12. Zhang, K.: Algorithms for the constrained editing distance between ordered labeled trees and related problems. Pattern Recognition 28(3), 463–474 (1995)

    Article  Google Scholar 

  13. Zhang, K.: Efficient parallel algorithms for tree editing problems. In: Hirschberg, D.S., Meyers, G. (eds.) CPM 1996. LNCS, vol. 1075, pp. 361–372. Springer, Heidelberg (1996)

    Google Scholar 

  14. Zhang, K., Shasha, D.: Simple fast algorithms for the editing distance between trees and related problems. SIAM J. Computing 18(6), 1245–1262 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  15. Zhang, K., Wang, L., Ma, B.: Computing similarity between RNA structures. In: Crochemore, M., Paterson, M. (eds.) CPM 1999. LNCS, vol. 1645, pp. 281–293. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  16. Zhang, K., Wang, J.T.L., Shasha, D.: On the editing distance between undirected acyclic graphs. International Journal of Foundations of Computer Science 7(1), 43–57 (1996)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, L., Zhang, K. (2005). Space Efficient Algorithms for Ordered Tree Comparison. In: Deng, X., Du, DZ. (eds) Algorithms and Computation. ISAAC 2005. Lecture Notes in Computer Science, vol 3827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11602613_39

Download citation

  • DOI: https://doi.org/10.1007/11602613_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30935-2

  • Online ISBN: 978-3-540-32426-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics