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the complexity and approximability of minimum contamination problems
Li Angsheng; Tang Linqing
2011
Conference NameTheory and Applications of Models of Computation 8th Annual Conference, TAMC 2011
SourceTheory and Applications of Models of Computation
Pages298-307
Conference Date2011
Conference PlaceTokyo Japan
Publish PlaceGermany
ISSN3029743
ISBN978-3-642-20876-8
DepartmentState Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, P.O. Box 8718, Beijing, 100190 P.R. China
English AbstractIn this article, we investigate the complexity and approximability of the Minimum Contamination Problems, which are derived from epidemic spreading areas and have been extensively studied recently. We show that both the Minimum Average Contamination Problem and the Minimum Worst Contamination Problem are NP-hard problems even on restrict cases. For any ε > 0, we give -bicriteria approximation algorithm for the Minimum Average Contamination Problem. Moreover, we show that the Minimum Average Contamination Problem is NP-hard to be approximated within 5/3 ? ε and the Minimum Worst Contamination Problem is NP-hard to be approximated within 2 ? ε , for any ε > 0, giving the first hardness results of approximation of constant ratios to the problems.
KeywordApproximation Algorithms Computational Complexity Water Cooling Systems
SponsorshipUniversity of Electro-Communications
Content Type会议论文
URIhttp://ir.iscas.ac.cn/handle/311060/14215
Collection基础软件与系统重点实验室
Recommended Citation
GB/T 7714
Li Angsheng,Tang Linqing. the complexity and approximability of minimum contamination problems[C]. Germany,2011:298-307.
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