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题名: Spin glass approach to the feedback vertex set problem
作者: Zhou, HJ
刊名: EUROPEAN PHYSICAL JOURNAL B
出版日期: 2013
卷号: 86, 期号:11, 页码:455
关键词: REGULATORY NETWORKS ;  GRAPHS ;  ALGORITHM ;  DYNAMICS
学科分类: Physics
通讯作者: Zhou, HJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Zhong Guan Cun East Rd 55, Beijing 100190, Peoples R China.
部门归属: Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
英文摘要: A feedback vertex set (FVS) of an undirected graph is a set of vertices that contains at least one vertex of each cycle of the graph. The feedback vertex set problem consists of constructing a FVS of size less than a certain given value. This combinatorial optimization problem has many practical applications, but it is in the nondeterministic polynomial-complete class of worst-case computational complexity. In this paper we define a spin glass model for the FVS problem and then study this model on the ensemble of finite-connectivity random graphs. In our model the global cycle constraints are represented through the local constraints on all the edges of the graph, and they are then treated by distributed message-passing procedures such as belief propagation. Our belief propagation-guided decimation algorithm can construct nearly optimal feedback vertex sets for single random graph instances and regular lattices. We also design a spin glass model for the FVS problem on a directed graph. Our work will be very useful for identifying the set of vertices that contribute most significantly to the dynamical complexity of a large networked system.
资助者: National Basic Research Program of China [2013CB932804]; Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China [11121403, 11225526]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000326722600002
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15246
Appears in Collections:理论物理所2013年知识产出 _期刊论文

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Recommended Citation:
Zhou, HJ. Spin glass approach to the feedback vertex set problem[J]. EUROPEAN PHYSICAL JOURNAL B,2013,86(11):455.
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