2013 | OriginalPaper | Buchkapitel
The Complexity of Finding a Large Subgraph under Anonymity Constraints
verfasst von : Robert Bredereck, Sepp Hartung, André Nichterlein, Gerhard J. Woeginger
Erschienen in: Algorithms and Computation
Verlag: Springer Berlin Heidelberg
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We define and analyze an anonymization problem in undirected graphs, which is motivated by certain privacy issues in social networks. The goal is to remove a small number of vertices from the graph such that in the resulting subgraph every occurring vertex degree occurs many times.
We prove that the problem is NP-hard for trees, and also for a number of other highly structured graph classes. Furthermore we provide polynomial time algorithms for other graph classes (like threshold graphs), and thereby establish a sharp borderline between hard and easy cases of the problem. Finally we perform a parametrized analysis, and we concisely characterize combinations of natural parameters that allow FPT algorithms.