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Approximation algorithm for Max-Bisection problem with the positive semidefinite relaxation
Xu, DC; Han, JY
2003-05-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume21Issue:3Pages:357-366
AbstractUsing outward rotations, we obtain an approximation algorithm for Max-Bisection problem, i.e., partitioning the vertices of an undirected graph into two blocks of equal cardinality so as to maximize the weights of crossing edges. In many interesting cases, the algorithm performs better than the algorithms of Ye and of Halperin and Zwick. The main tool used to obtain this result is semidefinite programming.
Keywordapproximation algorithm Max-Bisection problem semidefinite programming approximation ratio
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000183218200011
PublisherVSP BV
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18029
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Xu, DC,Han, JY. Approximation algorithm for Max-Bisection problem with the positive semidefinite relaxation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(3):357-366.
APA Xu, DC,&Han, JY.(2003).Approximation algorithm for Max-Bisection problem with the positive semidefinite relaxation.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(3),357-366.
MLA Xu, DC,et al."Approximation algorithm for Max-Bisection problem with the positive semidefinite relaxation".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.3(2003):357-366.
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