A spin glass approach to the directed feedback vertex set problem
文献类型：期刊论文
| 作者 | Zhou, HJ ; 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.
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| 刊名 | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
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| 出版日期 | 2016 |
| 页码 | 73303 |
| 关键词 | Spin Glasses (Theory) Message-passing Algorithms |
| DOI | http://dx.doi.org/10.1088/1742-5468/2016/07/073303 |
| 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. |
| 学科主题 | Mechanics ; Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21602]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 计算平台成果 |
| 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. |
| 推荐引用方式 GB/T 7714 | Zhou, HJ,Zhou, HJ . A spin glass approach to the directed feedback vertex set problem[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2016:73303. |
| APA | Zhou, HJ,&Zhou, HJ .(2016).A spin glass approach to the directed feedback vertex set problem.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,73303. |
| MLA | Zhou, HJ,et al."A spin glass approach to the directed feedback vertex set problem".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016):73303. |
入库方式： OAI收割
来源：理论物理研究所
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