KMS Of Academy of mathematics and systems sciences, CAS
| Clustering phase of a general constraint satisfaction problem model d-k-CSP | |
Xu, Wei1; Gong, Fuzhou2 ; Zhou, Guangyan3
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| 2020 | |
| Source Publication | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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| ISSN | 0378-4371 |
| Volume | 537Pages:15 |
| Abstract | Relation between problem hardness and solution space structure is an important research aspect. Model d-k-CSP is a random model of constraint satisfaction problem, which generates very hard instances when r = 1 or r is near 1, where r represents normalized constraint density. We study the clustering phase of the model, and find that if r is below and close to 1, the solution space contains many widely distributed and well-separated small frozen clusters, which should be the reason why the generated instances are hard to solve. (C) 2019 Elsevier B.V. All rights reserved. |
| Keyword | Constraint satisfaction problem Solution space structure Clustering phase transition Problem hardness Belief propagation |
| DOI | 10.1016/j.physa.2019.122708 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Fundamental Research Funds for the Central Universities[FRF-TP-16-065A1] ; National Natural Science Foundation of China[11801028] ; National Natural Science Foundation of China[61702019] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000501641200067 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50422 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zhou, Guangyan |
| Affiliation | 1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China |
| Recommended Citation GB/T 7714 | Xu, Wei,Gong, Fuzhou,Zhou, Guangyan. Clustering phase of a general constraint satisfaction problem model d-k-CSP[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2020,537:15. |
| APA | Xu, Wei,Gong, Fuzhou,&Zhou, Guangyan.(2020).Clustering phase of a general constraint satisfaction problem model d-k-CSP.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,537,15. |
| MLA | Xu, Wei,et al."Clustering phase of a general constraint satisfaction problem model d-k-CSP".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 537(2020):15. |
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