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Xie, JR; Zhang, P; Zhang, HF; Wang, BH; Wang, BH (reprint author), Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China.; Zhang, P (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Completeness of Community Structure in Networks
Source PublicationSCIENTIFIC REPORTS
Language英语
AbstractBy defining a new measure to community structure, exclusive modularity, and based on cavity method of statistical physics, we develop a mathematically principled method to determine the completeness of community structure, which represents whether a partition that is either annotated by experts or given by a community-detection algorithm, carries complete information about community structure in the network. Our results demonstrate that the expert partition is surprisingly incomplete in some networks such as the famous political blogs network, indicating that the relation between meta-data and community structure in real-world networks needs to be re-examined. As a byproduct we find that the exclusive modularity, which introduces a null model based on the degree-corrected stochastic block model, is of independent interest. We discuss its applications as principled ways of detecting hidden structures, finding hierarchical structures without removing edges, and obtaining low-dimensional embedding of networks.
2017
Volume7Pages:5269
Subject AreaScience & Technology - Other Topics
DOIhttp://dx.doi.org/10.1038/s41598-017-05585-6
Funding OrganizationNSFC [61473001, 11275186, 91024026, 61403421, FOM2014OF001] ; NSFC [61473001, 11275186, 91024026, 61403421, FOM2014OF001] ; NSFC [61473001, 11275186, 91024026, 61403421, FOM2014OF001] ; NSFC [61473001, 11275186, 91024026, 61403421, FOM2014OF001] ; Eunice Kennedy Shriver National Institute of Child Health and Human Development [P01-HD31921] ; Eunice Kennedy Shriver National Institute of Child Health and Human Development [P01-HD31921] ; Eunice Kennedy Shriver National Institute of Child Health and Human Development [P01-HD31921] ; Eunice Kennedy Shriver National Institute of Child Health and Human Development [P01-HD31921]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22015
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWang, BH (reprint author), Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China.; Zhang, P (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Xie, JR,Zhang, P,Zhang, HF,et al. Completeness of Community Structure in Networks[J]. SCIENTIFIC REPORTS,2017,7:5269.
APA Xie, JR,Zhang, P,Zhang, HF,Wang, BH,Wang, BH ,&Zhang, P .(2017).Completeness of Community Structure in Networks.SCIENTIFIC REPORTS,7,5269.
MLA Xie, JR,et al."Completeness of Community Structure in Networks".SCIENTIFIC REPORTS 7(2017):5269.
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