The solution space structure of random constraint satisfaction problems with growing domains
文献类型：期刊论文
| 作者 | Xu, W; Zhang, P ; Liu, T; Gong, FZ
|
| 刊名 | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
 |
| 出版日期 | 2015 |
| 期号 | 0页码:P12006 |
| 关键词 | disordered systems (theory) phase transformations (theory) |
| 通讯作者 | Liu, T (reprint author), Peking Univ, Sch EECS, Minist Educ, Key Lab High Confidence Software Technol, Beijing 100871, Peoples R China. |
| 英文摘要 | In 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. |
| 学科主题 | Mechanics ; Physics |
| 类目[WOS] | Mechanics ; Physics, Mathematical |
| 关键词[WOS] | EXACT PHASE-TRANSITIONS ; RANDOM K-SAT ; SATISFIABILITY ; THRESHOLD |
| 收录类别 | SCI |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/20762]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 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.(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. |
入库方式： OAI收割
来源：理论物理研究所
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