By Jean-Yves Girard

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B. -Z. A. ): COCOA 2008, LNCS 5165, pp. 23–31, 2008. c Springer-Verlag Berlin Heidelberg 2008 24 R. A. Evans, and T. Wareham In this paper, we give the first parameterized complexity analysis of a kanonymization problem, namely the entry suppression problem. This analysis includes algorithms which demonstrate the fixed-parameter tractability of this problem under a number of practically-useful restrictions; underlying these algorithms are three general frameworks that may be applicable to other kanonymization problems.

Wareham Table 1. Summary of Parameterized Results for Entry Suppression. For each F P T result, the numbers of the algorithms implying this result are given in parentheses. – k – N P -hard ∈ XP |Σ| ∈ XP ∈ XP m ??? n F P T (2) F P T (2) |Σ|, m ??? F P T (1) |Σ|, n F P T (2) F P T (2) e ??? F P T (3) F P T (2) F P T (1, 3) F P T (2) k, e ??? F P T (3) F P T (2) F P T (1, 3) F P T (2) many rows will be left, and if a group has at least e + k members then it can be used instead of a smaller group.

Every hypernode (rather than every node) has a positive weight. We seek a subset S of hypernodes with minimum total weight so that the union of hypernodes in S intersects every hyperedge in at least m nodes. We refer to this problem as Work supported by the Swedish Research Council (Vetenskapsr˚ adet), grant no. 20076437, “Combinatorial inference algorithms – parameterization and clustering”. B. -Z. A. ): COCOA 2008, LNCS 5165, pp. 32–42, 2008. c Springer-Verlag Berlin Heidelberg 2008 Multiple Hypernode Hitting Sets and Smallest Two-Cores with Targets 33 Multiple Weighted Hypernode Hitting Set.

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