Skip to main content

An Efficient Quasidictionary

  • Conference paper
  • First Online:
Algorithm Theory — SWAT 2002 (SWAT 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2368))

Included in the following conference series:

Abstract

We define a quasidictionary to be a data structure that supports the following operations: check-in(v) inserts a data item v and returns a positive integer tag to be used in future references to v; check-out(x) deletes the data item with tag x; access(x) inspects and/or modifies the data item with tag x. A quasidictionary is similar to a dictionary, the difference being that the names identifying data items are chosen by the data structure rather than by its user. We describe a deterministic quasidictionary that executes the operations check-in and access in constant time and check-out in constant amortized time, works in linear space, and uses only tags bounded by the maximum number of data items stored simultaneously in the quasidictionary since it was last empty.

Supported in part by EPSRC grant GR L/92150.

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 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.

References

  1. A. Andersson, T. Hagerup, S. Nilsson, and R. Raman, Sorting in linear time?, J. Comput. System Sci. 57 (1998), pp. 74–93.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Andersson, P. B. Miltersen, S. Riis, and M. Thorup, Static dictionaries on AC 0 RAMs: Query time Θ(√logn/loglogn) is necessary and sufficient, Proc., 37th Annual IEEE Symposium on Foundations of Computer Science (FOCS 1996), pp. 441–450.

    Google Scholar 

  3. A. Andersson and M. Thorup, Tight(er) worst-case bounds on dynamic searching and priority queues, Proc., 32nd Annual ACM Symposium on Theory of Computing (STOC 2000), pp. 335–342.

    Google Scholar 

  4. P. Beame and F. E. Fich, Optimal bounds for the predecessor problem, Proc., 31st Annual ACM Symposium on Theory of Computing (STOC 1999), pp. 295–304.

    Google Scholar 

  5. M. R. Brown and R. E. Tarjan, A representation for linear lists with movable fingers, Proc., 10th Annual ACM Symposium on Theory of Computing (STOC 1978), pp. 19–29.

    Google Scholar 

  6. T. H. Cormen, C. E. Leiserson, and R. L. Rivest, Introduction to Algorithms (1st edition), The MIT Press, Cambridge, MA, 1990.

    Google Scholar 

  7. T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms (2nd edition), The MIT Press, Cambridge, MA, 2001.

    MATH  Google Scholar 

  8. E. D. Demaine, A threads-only MPI implementation for the development of parallel programs, Proc., 11th International Symposium on High Performance Computing Systems (HPCS 1997), pp. 153–163.

    Google Scholar 

  9. M. Dietzfelbinger, A. Karlin, K. Mehlhorn, F. Meyer auf der Heide, H. Rohnert, and R. E. Tarjan, Dynamic perfect hashing: Upper and lower bounds, SIAM J. Comput. 23 (1994), pp. 738–761.

    Article  MATH  MathSciNet  Google Scholar 

  10. M. L. Fredman and R. E. Tarjan, Fibonacci heaps and their uses in improved network optimization problems, J. ACM 34 (1987), pp. 596–615.

    Article  MathSciNet  Google Scholar 

  11. M. L. Fredman and D. E. Willard, Surpassing the information theoretic bound with fusion trees, J. Comput. System Sci. 47 (1993), pp. 424–436.

    Article  MATH  MathSciNet  Google Scholar 

  12. M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, W. H. Freeman and Company, New York, 1979.

    MATH  Google Scholar 

  13. J. Gergov, Algorithms for compile-time memory optimization, Proc., 10th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 1999), pp. 907–908.

    Google Scholar 

  14. L. J. Guibas and R. Sedgewick, A dichromatic framework for balanced trees, Proc., 19th Annual IEEE Symposium on Foundations of Computer Science (FOCS 1978), pp. 8–21.

    Google Scholar 

  15. T. Hagerup, Sorting and searching on the word RAM, Proc., 15th Annual Symposium on Theoretical Aspects of Computer Science (STACS 1998), Lecture Notes in Computer Science, Springer-Verlag, Berlin, Vol. 1373, pp. 366–398.

    Google Scholar 

  16. T. Hagerup, P. B. Miltersen, and R. Pagh, Deterministic dictionaries, J. Algorithms 41 (2001), pp. 69–85.

    Article  MATH  MathSciNet  Google Scholar 

  17. S. Huddleston and K. Mehlhorn, A new data structure for representing sorted lists, Acta Inf. 17 (1982), pp. 157–184.

    Article  MATH  MathSciNet  Google Scholar 

  18. M. G. Luby, J. Naor, and A. Orda, Tight bounds for dynamic storage allocation, Proc., 5th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 1994), pp. 724–732.

    Google Scholar 

  19. K. Mehlhorn and S. Näher, LEDA: A Platform for Combinatorial and Geometric Computing, Cambridge University Press, 1999.

    Google Scholar 

  20. R. Raman, Priority queues: Small, monotone and trans-dichotomous, Proc., 4th Annual European Symposium on Algorithms (ESA 1996), Lecture Notes in Computer Science, Springer-Verlag, Berlin, Vol. 1136, pp. 121–137.

    Google Scholar 

  21. J. M. Robson, An estimate of the store size necessary for dynamic storage allocation, J. ACM 18 (1971), pp. 416–423.

    Article  MATH  MathSciNet  Google Scholar 

  22. J. M. Robson, Bounds for some functions concerning dynamic storage allocation, J. A CM 21 (1974), pp. 491–499.

    MATH  MathSciNet  Google Scholar 

  23. M. Thorup, On RAM priority queues, SIAM J. Comput. 30 (2000), pp. 86–109.

    Article  MATH  MathSciNet  Google Scholar 

  24. P. R. Wilson, M. S. Johnstone, M. Neely, and D. Boles, Dynamic storage allocation: A survey and critical review, Proc., International Workshop on Memory Management (IWMM 1995), Lecture Notes in Computer Science, Springer-Verlag, Berlin, Vol. 986, pp. 1–116.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hagerup, T., Raman, R. (2002). An Efficient Quasidictionary. In: Penttonen, M., Schmidt, E.M. (eds) Algorithm Theory — SWAT 2002. SWAT 2002. Lecture Notes in Computer Science, vol 2368. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45471-3_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-45471-3_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43866-3

  • Online ISBN: 978-3-540-45471-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics