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Coutinho, Bruno Coelho; Wu, Ang-Kun; Zhou, Hai-Jun ; Liu, Yang-Yu
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| Covering Problems and Core Percolations on Hypergraphs | |
| Source Publication | PHYSICAL REVIEW LETTERS
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| Language | 英语 |
| Keyword | SET |
| Abstract | 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. |
| 2020 | |
| ISSN | 0031-9007 |
| Volume | 124Issue:24Pages:248301 |
| Cooperation Status | 国际 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Multidisciplinary |
| DOI | 10.1103/PhysRevLett.124.248301 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/27197 |
| Collection | SCI期刊论文 |
| Affiliation | 1.Inst Telecomunicacoes, Phys Informat & Quantum Technol Grp, P-1049001 Lisbon, Portugal 2.Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08854 USA 3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.Brigham & Womens Hosp, Channing Div Network Med, Boston, MA 02115 USA 5.Harvard Med Sch, Boston, MA 02115 USA 6.Dana Farber Canc Inst, Ctr Canc Syst Biol, Boston, MA 02115 USA |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Covering Problems an（507KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | Application Full Text | |
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