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	Covering Problems and Core Percolations on Hypergraphs
	Coutinho, Bruno Coelho; Wu, Ang-Kun; Zhou, Hai-Jun; Liu, Yang-Yu
刊名	PHYSICAL REVIEW LETTERS
	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
内容类型	期刊论文
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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Inst Telecomunicacoes, Phys Informat & Quantum Technol Grp, P-1049001 Lisbon, Portugal 3.Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08854 USA 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
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.

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