[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

A Distribution-Sensitive Dictionary with Low Space Overhead

  • Conference paper
Algorithms and Data Structures (WADS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5664))

Included in the following conference series:

Abstract

The time required for a sequence of operations on a data structure is usually measured in terms of the worst possible such sequence. This, however, is often an overestimate of the actual time required. Distribution-sensitive data structures attempt to take advantage of underlying patterns in a sequence of operations in order to reduce time complexity, since access patterns are non-random in many applications. Unfortunately, many of the distribution-sensitive structures in the literature require a great deal of space overhead in the form of pointers. We present a dictionary data structure that makes use of both randomization and existing space-efficient data structures to yield very low space overhead while maintaining distribution sensitivity in the expected sense.

This research was partially supported by NSERC and MRI.

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

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 35.99
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 44.99
Price includes VAT (United Kingdom)
  • 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.

Similar content being viewed by others

References

  1. Adelson-Velskii, G.M., Landis, E.M.: An algorithm for the organization of information. Soviet Math. Doklady 3, 1259–1263 (1962)

    Google Scholar 

  2. Badoiu, M., Cole, R., Demaine, E.D., Iacono, J.: A unified access bound on comparison-based dynamic dictionaries. Theoretical Computer Science 382(2), 86–96 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Bose, P., Douieb, K., Langerman, S.: Dynamic optimality for skip lists and B-trees. In: SODA 2008: Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1106–1114 (2008)

    Google Scholar 

  4. Franceschini, G., Grossi, R.: Implicit dictionaries supporting searches and amortized updates in O(log n log log n) time. In: SODA 2003: Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 670–678 (2003)

    Google Scholar 

  5. Franceschini, G., Grossi, R.: Optimal worst-case operations for implicit cache-oblivious search trees. In: Dehne, F., Sack, J.-R., Smid, M. (eds.) WADS 2003. LNCS, vol. 2748, pp. 114–126. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  6. Franceschini, G., Munro, J.I.: Implicit dictionaries with O(1) modifications per update and fast search. In: SODA 2006: Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 404–413 (2006)

    Google Scholar 

  7. Guibas, L.J., Sedgewick, R.: A dichromatic framework for balanced trees. In: FOCS 1978: Proceedings of the 19th Annual IEEE Symposium on Foundations of Computer Science, pp. 8–21 (1978)

    Google Scholar 

  8. Iacono, J.: Alternatives to splay trees with O(log n) worst-case access times. In: SODA 2001: Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 516–522 (2001)

    Google Scholar 

  9. Iacono, J., Langerman, S.: Queaps. Algorithmica 42(1), 49–56 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ian Munro, J.: An implicit data structure supporting insertion, deletion, and search in O(log2 n) time. J. Comput. Syst. Sci. 33(1), 66–74 (1986)

    Article  MATH  Google Scholar 

  11. Sleator, D.D., Tarjan, R.E.: Self-adjusting binary search trees. J. ACM 32(3), 652–686 (1985)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bose, P., Howat, J., Morin, P. (2009). A Distribution-Sensitive Dictionary with Low Space Overhead. In: Dehne, F., Gavrilova, M., Sack, JR., Tóth , C.D. (eds) Algorithms and Data Structures. WADS 2009. Lecture Notes in Computer Science, vol 5664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03367-4_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03367-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03366-7

  • Online ISBN: 978-3-642-03367-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics