文章基本信息

标题：Weak Kernels
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作者：Haitao Jiang, Binhai Zhu
期刊名称：Electronic Colloquium on Computational Complexity
印刷版ISSN：1433-8092
出版年度：2010
卷号：2010
出版社：Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
摘要：In this paper, we formalize a folklore concept and formally define {\em weak kernels} for fixed-parameter computation. We show that a problem has a (traditional) kernel then it also has a weak kernel. It is unknown yet whether the converse is always true. On the other hand, for a problem in NP, if it has a weak kernel then it admits an FPT algorithm (hence a kernel). We show a few applications of weak kernels, for which a (traditional) kernelization seems hard to apply. Among them, we present the first FPT algorithm for the famous Sorting by Minimum Unsigned Reversals problem.
关键词：FPT algorithms, kernels, NP-completeness, Sorting by Reversals, weak kernels