Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

FM Synopsis

  • Phillip B. GibbonsEmail author
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_164


Flajolet-Martin algorithm; Flajolet-Martin sketch; FM sketch


Given a multi-set S of values from a domain \( \mathcal{D} \)
This is a preview of subscription content, log in to check access.

Recommended Reading

  1. 1.
    Alon N, Matias Y, Szegedy M. The space complexity of approximating the frequency moments. J Comput Syst Sci. 1999;58(1):137–47.MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Bunge J, Fitzpatrick M. Estimating the number of species: a review. J Am Stat Assoc. 1993;88(421):364–73.Google Scholar
  3. 3.
    Charikar M, Chaudhuri S, Motwani R, Narasayya V. Towards estimation error guarantees for distinct values. In: Proceedings of the 19th ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems; 2000. p. 268–79.Google Scholar
  4. 4.
    Considine J, Li F, Kollios G, Byers J. Approximate aggregation techniques for sensor databases. In: Proceedings of the 20th International Conference on Data Engineering; 2004. p. 449–60.Google Scholar
  5. 5.
    Durand M, Flajolet P. Loglog counting of large cardinalities. In: Proceedings of the 11th European Symposium on Algorithms; 2003. p. 604–17.CrossRefGoogle Scholar
  6. 6.
    Estan C., Varghes G., Fisk M. Bitmap algorithms for counting active flows on high speed links. In: Proceedings of the 3rd ACM SIGCOMM Conference on Internet Measurement; 2003. p. 153–66.Google Scholar
  7. 7.
    Flajolet P, Martin GN. Probabilistic counting algorithms for data base applications. J Comput Syst Sci. 1985;31(2):182–209.MathSciNetzbMATHCrossRefGoogle Scholar
  8. 8.
    Gibbons PB. Distinct-values estimation over data streams. In: Garofalakis M, Gehrke J, Rastogi R, editors. Data stream management: processing high-speed data streams. Secaucus: Springer; 2009.Google Scholar
  9. 9.
    Nath S, Gibbons PB, Seshan S, Anderson Z. Synopsis diffusion for robust aggregation in sensor networks. ACM Trans Sensor Networks. 2008;4(2):1–40.CrossRefGoogle Scholar
  10. 10.
    Palmer CR, Gibbons PB, Faloutsos C. ANF: a fast and scalable tool for data mining in massive graphs. In: Proceedings of the 8th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining; 2002. p. 81–90.Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Computer Science Department and the Electrical and Computer Engineering DepartmentCarnegie Mellon UniversityPittsburghUSA

Section editors and affiliations

  • Divesh Srivastava
    • 1
  1. 1.AT&T Labs - ResearchAT&TBedminsterUSA