中国科学院理论物理研究所机构知识库
Advanced  
ITP OpenIR  > 理论物理所2016年知识产出  > 期刊论文
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
页码: 73303, 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
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
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21602
Appears in Collections:理论物理所2016年知识产出_期刊论文

Files in This Item: Download All
File Name/ File Size Content Type Version Access License
Spin glass approach to the feedback vertex set problem - Zhou - 2013.pdf(1475KB)----开放获取View Download

Recommended Citation:
Zhou, HJ. A spin glass approach to the directed feedback vertex set problem[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2016:73303.
Service
 Recommend this item
 Sava as my favorate item
 Show this item's statistics
 Export Endnote File
Google Scholar
 Similar articles in Google Scholar
 [Zhou, HJ]'s Articles
CSDL cross search
 Similar articles in CSDL Cross Search
 [Zhou, HJ]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
  Add to CiteULike  Add to Connotea  Add to Del.icio.us  Add to Digg  Add to Reddit 
文件名: Spin glass approach to the feedback vertex set problem - Zhou - 2013.pdf
格式: Adobe PDF
此文件暂不支持浏览
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2017  中国科学院理论物理研究所 - Feedback
Powered by CSpace