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题名:
unbalanced graph partitioning
作者: Li Angsheng ; Zhang Peng
会议文集: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
会议名称: 21st Annual International Symposium on Algorithms and Computations, ISAAC 2010
会议日期: 40878
出版日期: 2010
会议地点: Jeju Island, Korea, Republic of
关键词: Computational complexity ; Trees (mathematics)
出版地: Germany
收录类别: EI
ISSN: 3029743
ISBN: 3642175163
部门归属: (1) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (2) School of Computer Science and Technology, Shandong University, Jinan 250101, China
主办者: Spec. Interest Group Theor. Comput. Sc. (SIGTCS); Korean Inst. Inf. Sci. Eng. (KIISE)
英文摘要: We investigate the unbalanced cut problems. A cut (A, B) is called unbalanced if the size of its smaller side is at most k (called k-size) or exactly k (called Ek-size), where k is an input parameter. An s-t cut (A, B) is called unbalanced if its s-side is of k-size or Ek-size. We consider three types of unbalanced cut problems, in which the quality of a cut is measured with respect to the capacity, the sparsity, and the conductance, respectively. We show that even if the input graph is restricted to be a tree, the Ek-Sparsest Cut problem (to find an Ek-size cut with the minimum sparsity) is still NP-hard. We give a bicriteria approximation algorithm for the k-Sparsest Cut problem (to find a k-size cut with the minimum sparsity), which outputs a cut whose sparsity is at most O(logn) times the optimum and whose smaller side has size at most O(logn)k. As a consequence, this leads to a (O(logn), O(logn))- approximation algorithm for the Min k-Conductance problem (to find a k-size cut with the minimum conductance). We also prove that the Min k-Size s-t Cut problem is NP-hard and give an O(logn)-approximation algorithm for it. © 2010 Springer-Verlag.
语种: 英语
内容类型: 会议论文
URI标识: http://ir.iscas.ac.cn/handle/311060/8958
Appears in Collections:计算机科学国家重点实验室 _会议论文

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Recommended Citation:
Li Angsheng,Zhang Peng. unbalanced graph partitioning[C]. 见:21st Annual International Symposium on Algorithms and Computations, ISAAC 2010. Jeju Island, Korea, Republic of. 40878.
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