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题名: A spin glass approach to the directed feedback vertex set problem
作者: Zhou, HJ
刊名: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
出版日期: 2016
期号: 2016, 页码:73303
关键词: spin glasses (theory) ;  message-passing algorithms
学科分类: Mechanics ;  Physics
DOI: http://dx.doi.org/10.1088/1742-5468/2016/07/073303
通讯作者: Zhou, HJ (reprint author), Chinese Acad Sci, Key Lab Theoret Phys, Inst Theoret Phys, Zhong Guan Cun East Rd 55, Beijing 100190, Peoples R China.
文章类型: Article
合作性质: 其它
英文摘要: A directed graph (digraph) is formed by vertices and arcs (directed edges) from one vertex to another. A feedback vertex set (FVS) is a set of vertices that contains at least one vertex of every directed cycle in this digraph. The directed feedback vertex set problem aims at constructing a FVS of minimum cardinality. This is a fundamental cycle-constrained hard combinatorial optimization problem with wide practical applications. In this paper we construct a spin glass model for the directed FVS problem by converting the global cycle constraints into local arc constraints, and study this model through the replica-symmetric (RS) mean field theory of statistical physics. We then implement a belief propagation-guided decimation (BPD) algorithm for single digraph instances. The BPD algorithm slightly outperforms the simulated annealing algorithm on large random graph instances. The RS mean field results and algorithmic results can be further improved by working on a more restrictive (and more difficult) spin glass model.
类目[WOS]: Mechanics ;  Physics, Mathematical
关键词[WOS]: RANDOM REGULAR GRAPHS ;  COMPLEX NETWORKS ;  ALGORITHM ;  DYNAMICS
收录类别: SCI
项目资助者: National Basic Research Program of China [2013CB932804] ;  National Natural Science Foundation of China [11121403, 11225526] ;  Knowledge Innovation Program of Chinese Academy of Sciences [KJCX2-EW-J02]
语种: 英语
WOS记录号: WOS:000381379800021
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21264
Appears in Collections:理论物理所计算集群成果_计算集群论文-未标明致谢

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Recommended Citation:
Zhou, HJ. A spin glass approach to the directed feedback vertex set problem[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2016(2016):73303.
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文件名: A spin glass approach to the directed feedback vertex set problem.pdf
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