Skip to main content

Space-Efficient, High-Performance Rank and Select Structures on Uncompressed Bit Sequences

  • Conference paper
Experimental Algorithms (SEA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7933))

Included in the following conference series:

Abstract

Rank & select data structures are one of the fundamental building blocks for many modern succinct data structures. With the continued growth of massive-scale information services, the space efficiency of succinct data structures is becoming increasingly attractive in practice. In this paper, we re-examine the design of rank & select data structures from the bottom up, applying an architectural perspective to optimize their operation. We present our results in the form of a recipe for constructing space and time efficient rank & select data structures for a given hardware architecture. By adopting a cache-centric design approach, our rank & select structures impose space overhead as low as the most space-efficient, but slower, prior designs—only 3.2% and 0.39% extra space respectively—while offering performance competitive with the highest-performance prior designs.

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. Clark, D.R.: Compact pat trees. PhD thesis, Waterloo, Ont., Canada, Canada (1998)

    Google Scholar 

  2. Elias, P.: Efficient Storage and Retrieval by Content and Address of Static Files. J. ACM 21(2), 246–260 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  3. Fano, R.M.: On the number of bits required to implement an associative memory. Memorandum 61, Computer Structures Group, Project MAC (1971)

    Google Scholar 

  4. Gog, S.: https://github.com/simongog/sdsl

  5. González, R., Grabowski, S., Mäkinen, V., Navarro, G.: Practical implementation of rank and select queries. In: Poster Proceedings Volume of 4th Workshop on Efficient and Experimental Algorithms (WEA 2005), pp. 27–38 (2005)

    Google Scholar 

  6. Jacobson, G.: Space-efficient static trees and graphs. In: Proc. Symposium on Foundations of Computer Science, SFCS 1989, pp. 549–554. IEEE Computer Society, Washington, DC (1989)

    Google Scholar 

  7. Knuth, D.E.: The Art of Computer Programming. Fascicle: Bitwise Tricks & Techniques; Binary Decision Diagrams, vol. 4. Addison-Wesley Professional (2009)

    Google Scholar 

  8. Ladra, S., Pedreira, O., Duato, J., Brisaboa, N.R.: Exploiting SIMD instructions in current processors to improve classical string algorithms. In: Morzy, T., Härder, T., Wrembel, R. (eds.) ADBIS 2012. LNCS, vol. 7503, pp. 254–267. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  9. Navarro, G., Providel, E.: Fast, Small, Simple Rank/Select on Bitmaps. In: Klasing, R. (ed.) SEA 2012. LNCS, vol. 7276, pp. 295–306. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  10. Vigna, S.: Broadword implementation of rank/select queries. In: McGeoch, C.C. (ed.) WEA 2008. LNCS, vol. 5038, pp. 154–168. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhou, D., Andersen, D.G., Kaminsky, M. (2013). Space-Efficient, High-Performance Rank and Select Structures on Uncompressed Bit Sequences. In: Bonifaci, V., Demetrescu, C., Marchetti-Spaccamela, A. (eds) Experimental Algorithms. SEA 2013. Lecture Notes in Computer Science, vol 7933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38527-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38527-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38526-1

  • Online ISBN: 978-3-642-38527-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics