Controllability and maximum matchings of complex networks
文献类型：期刊论文
| 作者 | Zhao, JH; Zhou, HJ
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2019 |
| 卷号 | 99期号:1页码:12317 |
| 关键词 | RANDOM GRAPHS DYNAMICS |
| ISSN号 | 2470-0045 |
| DOI | 10.1103/PhysRevE.99.012317 |
| 英文摘要 | Previously, the controllability problem of a linear time-invariant dynamical system was mapped to the maximum matching (MM) problem on the bipartite representation of the underlying directed graph, and the sizes of MMs on random bipartite graphs were calculated analytically with the cavity method at zero temperature limit. Here we present an alternative theory to estimate MM sizes based on the core percolation theory and the perfect matching of cores. Our theory is much more simplified and easily interpreted, and can estimate MM sizes on random graphs with or without symmetry between out- and in-degree distributions. Our result helps to illuminate the fundamental connection between the controllability problem and the underlying structure of complex systems. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/23507]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.[Zhao, Jin-Hua 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, JH,Zhou, HJ. Controllability and maximum matchings of complex networks[J]. PHYSICAL REVIEW E,2019,99(1):12317. |
| APA | Zhao, JH,&Zhou, HJ.(2019).Controllability and maximum matchings of complex networks.PHYSICAL REVIEW E,99(1),12317. |
| MLA | Zhao, JH,et al."Controllability and maximum matchings of complex networks".PHYSICAL REVIEW E 99.1(2019):12317. |
入库方式： OAI收割
来源：理论物理研究所
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