ITP OpenIR  > SCI期刊论文
Xu, W; Zhang, P; Liu, T; Gong, FZ; Liu, T (reprint author), Peking Univ, Sch EECS, Minist Educ, Key Lab High Confidence Software Technol, Beijing 100871, Peoples R China.
The solution space structure of random constraint satisfaction problems with growing domains
Source PublicationJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Language英语
KeywordDisordered Systems (Theory) Phase Transformations (Theory)
AbstractIn this paper we study the solution space structure of model RB, a standard prototype of the constraint satisfaction problem (CSP), with growing domains. Using the first moment method and the second moment method, we rigorously show that in the satisfiable phase close to the satisfiability transition, solutions are clustered into an exponential number of well-separated clusters, with each cluster containing a sub-exponential number of solutions. As a consequence, the system has a clustering (dynamical) transition but no condensation transition. This picture of the phase diagram is different to other classic random CSPs that possess a fixed domain size, such as the K-satisfiability (K-SAT) problem and the graph colouring problem, where a condensation transition exists and is distinctly different to the satisfiability transition. Our result verifies some non-rigorous results obtained using the cavity method from spin glass theory.
2015
Issue0Pages:P12006
Subject AreaMechanics ; Physics
DOIhttp://dx.doi.org/10.1088/1742-5468/2015/12/P12006
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20762
CollectionSCI期刊论文
Corresponding AuthorLiu, T (reprint author), Peking Univ, Sch EECS, Minist Educ, Key Lab High Confidence Software Technol, Beijing 100871, Peoples R China.
Recommended Citation
GB/T 7714
Xu, W,Zhang, P,Liu, T,et al. The solution space structure of random constraint satisfaction problems with growing domains[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2015(0):P12006.
APA Xu, W,Zhang, P,Liu, T,Gong, FZ,&Liu, T .(2015).The solution space structure of random constraint satisfaction problems with growing domains.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(0),P12006.
MLA Xu, W,et al."The solution space structure of random constraint satisfaction problems with growing domains".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .0(2015):P12006.
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