Title
Anonymizing binary and small tables is hard to approximate
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 become the same tuple, after the suppression of some records. The natural optimization problem, where the goal is to minimize the number of suppressed entries, is known 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 factor that any polynomial-time algorithm can achieve on two restrictions of the problem, namely (i) when the records values are over a binary alphabet and k=3, and (ii) when the records have length at most 8 and k=4, showing that these restrictions of the problem are APX-hard.
Year
DOI
Venue
2011
10.1007/s10878-009-9277-y
Journal of Combinatorial Optimization
Keywords
Field
DocType
k,-anonymity,APX-hardness,Computational complexity,Clustering
Row,Mathematical optimization,Combinatorics,Tuple,Upper and lower bounds,k-anonymity,Time complexity,Optimization problem,Mathematics,Computational complexity theory,Binary number
Journal
Volume
Issue
ISSN
22
1
1382-6905
Citations 
PageRank 
References 
10
0.56
10
Authors
3
Name
Order
Citations
PageRank
Paola Bonizzoni150252.23
Gianluca Della Vedova234236.39
Riccardo Dondi38918.42