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Zhou, HJ; 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.
Spin glass approach to the feedback vertex set problem
Source PublicationEUROPEAN PHYSICAL JOURNAL B
Language英语
KeywordRegulatory Networks Graphs Algorithm Dynamics
AbstractA 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.
2013
ISSN1434-6028
Volume86Issue:11Pages:455
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Basic Research Program of China [2013CB932804]; Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China [11121403, 11225526] ; National Basic Research Program of China [2013CB932804]; Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China [11121403, 11225526] ; National Basic Research Program of China [2013CB932804]; Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China [11121403, 11225526] ; National Basic Research Program of China [2013CB932804]; Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China [11121403, 11225526]
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Cited Times:25[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15246
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhou, 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.
Recommended Citation
GB/T 7714
Zhou, HJ,Zhou, HJ . Spin glass approach to the feedback vertex set problem[J]. EUROPEAN PHYSICAL JOURNAL B,2013,86(11):455.
APA Zhou, HJ,&Zhou, HJ .(2013).Spin glass approach to the feedback vertex set problem.EUROPEAN PHYSICAL JOURNAL B,86(11),455.
MLA Zhou, HJ,et al."Spin glass approach to the feedback vertex set problem".EUROPEAN PHYSICAL JOURNAL B 86.11(2013):455.
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