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- W2185779375 abstract "Motivated by a strongly growing interest in graph anonymiza- tion in the data mining and databases communities over the last ve years, we study the NP-hard problem of making a graph k-anonymous by adding as few edges as possible. Herein, a graph is k-anonymous if for every vertex in the graph there are at least k 1 other vertices of the same degree. Our algorithmic results shed light on the performance quality of a popular heuristic due to Liu and Terzi (ACM SIGMOD 2008); in particular, we show that the heuristic provides optimal solutions in case that many edges need to be added. Based on this, we develop a polynomial-time data reduction, yielding a polynomial-size problem ker- nel for the problem parameterized by the maximum vertex degree. This result is in a sense tight since we also show that the problem is already NP-hard for H-index three, implying NP-hardness for smaller parameters such as average degree and degeneracy." @default.
- W2185779375 created "2016-06-24" @default.
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- W2185779375 date "2013-01-01" @default.
- W2185779375 modified "2023-09-26" @default.
- W2185779375 title "Complexity Analysis of Degree Anonymization on Graphs" @default.
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