Covering Problems and Core Percolations on Hypergraphs
文献类型：期刊论文
| 作者 | Coutinho, Bruno Coelho; Wu, Ang-Kun; Zhou, Hai-Jun ; Liu, Yang-Yu
|
| 刊名 | PHYSICAL REVIEW LETTERS
 |
| 出版日期 | 2020 |
| 卷号 | 124期号:24页码:248301 |
| 关键词 | SET |
| ISSN号 | 0031-9007 |
| DOI | 10.1103/PhysRevLett.124.248301 |
| 英文摘要 | We introduce two generalizations of core percolation in graphs to hypergraphs, related to the minimum hyperedge cover problem and the minimum vertex cover problem on hypergraphs, respectively. We offer analytical solutions of these two core percolations for uncorrelated random hypergraphs whose vertex degree and hyperedge cardinality distributions are arbitrary but have nondiverging moments. We find that for several real-world hypergraphs their two cores tend to be much smaller than those of their null models, suggesting that covering problems in those real-world hypergraphs can actually be solved in polynomial time. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27197]  |
| 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.Dana Farber Canc Inst, Ctr Canc Syst Biol, Boston, MA 02115 USA 2.Harvard Med Sch, Boston, MA 02115 USA 3.Brigham & Womens Hosp, Channing Div Network Med, Boston, MA 02115 USA 4.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08854 USA 6.Inst Telecomunicacoes, Phys Informat & Quantum Technol Grp, P-1049001 Lisbon, Portugal |
| 推荐引用方式 GB/T 7714 | Coutinho, Bruno Coelho,Wu, Ang-Kun,Zhou, Hai-Jun,et al. Covering Problems and Core Percolations on Hypergraphs[J]. PHYSICAL REVIEW LETTERS,2020,124(24):248301. |
| APA | Coutinho, Bruno Coelho,Wu, Ang-Kun,Zhou, Hai-Jun,&Liu, Yang-Yu.(2020).Covering Problems and Core Percolations on Hypergraphs.PHYSICAL REVIEW LETTERS,124(24),248301. |
| MLA | Coutinho, Bruno Coelho,et al."Covering Problems and Core Percolations on Hypergraphs".PHYSICAL REVIEW LETTERS 124.24(2020):248301. |
入库方式： OAI收割
来源：理论物理研究所
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