The k-Anonymity Problem Is Hard

  • Paola Bonizzoni
  • Gianluca Della Vedova
  • Riccardo Dondi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5699)

Abstract

The problem of publishing personal data without giving up privacy is becoming increasingly important. An interesting formalization recently proposed is the k-anonymity. This approach requires that the rows in a table are clustered in sets of size at least k and that all the rows in a cluster are related to the same tuple, after the suppression of some records. The problem has been shown to be NP-hard when the values are over a ternary alphabet, k = 3 and the rows length is unbounded. In this paper we give a lower bound on the approximation of two restrictions of the problem, when the records values are over a binary alphabet and k = 3, and when the records have length at most 8 and k = 4, showing that these restrictions of the problem are APX-hard.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Paola Bonizzoni
    • 1
  • Gianluca Della Vedova
    • 2
  • Riccardo Dondi
    • 3
  1. 1.DISCoUniversità degli Studi di Milano-BicoccaMilanoItaly
  2. 2.Dipartimento di StatisticaUniversità degli Studi di Milano-BicoccaMilanoItaly
  3. 3.Dipartimento di Scienze dei Linguaggi, della Comunicazione e degli Studi CulturaliUniversità degli Studi di BergamoBergamoItaly

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