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 题名: approximation and hardness results for label cut and related problems 作者: Zhang Peng ; Cai Jin-Yi ; Tang Lin-Qing ; Zhao Wen-Bo 关键词: Combinatorial optimization ; Hardness 刊名: Journal of Combinatorial Optimization 发表日期: 2011 卷: 21, 期:2, 页:192-208 收录类别: ei 部门归属: (1) School of Computer Science and Technology, Shandong University, Ji'nan 250101, China; (2) Computer Sciences Department, University of Wisconsin, Madison, WI 53706, United States; (3) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (4) Graduate University, Chinese Academy of Sciences, Beijing 100190, China; (5) Dept. of Computer Science and Engineering, University of California, San Diego, San Diego, CA 92093, United States 英文摘要: We investigate a natural combinatorial optimization problem called the Label Cut problem. Given an input graph G with a source s and a sink t, the edges of G are classified into different categories, represented by a set of labels. The labels may also have weights. We want to pick a subset of labels of minimum cardinality (or minimum total weight), such that the removal of all edges with these labels disconnects s and t. We give the first non-trivial approximation and hardness results for the Label Cut problem. Firstly, we present an O(m) -approximation algorithm for the Label Cut problem, where m is the number of edges in the input graph. Secondly, we show that it is NP-hard to approximate Label Cut within 2log 1-1 / log log cnn for any constant c<1/2, where n is the input length of the problem. Thirdly, our techniques can be applied to other previously considered optimization problems. In particular we show that the Minimum Label Path problem has the same approximation hardness as that of Label Cut, simultaneously improving and unifying two known hardness results for this problem which were previously the best (but incomparable due to different complexity assumptions). © 2009 Springer Science+Business Media, LLC. 语种: 英语 内容类型: 期刊论文 URI标识: http://ir.iscas.ac.cn/handle/311060/14065 Appears in Collections: 软件所图书馆_期刊论文

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 Recommended Citation: Zhang Peng,Cai Jin-Yi,Tang Lin-Qing,et al. approximation and hardness results for label cut and related problems[J]. Journal of Combinatorial Optimization,2011-01-01,21(2):192-208.
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