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Fan, JF; Chen, XS; Fan, JF (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
General clique percolation in random networks
Source PublicationEPL
Language英语
KeywordCommunity Structure
AbstractA general (k, l) clique community of a network, which consists of adjacent k- cliques sharing at least l vertices with k - 1 >= l >= 1, is introduced. With the emergence of a giant (k, l) clique community in the network, there is a (k, l) clique percolation. Using the largest size jump Delta of the largest clique community during network evolution and the corresponding evolution step T-c, we study the general (k, l) clique percolation of the Erdos-Renyi network. We investigate the averages of Delta and T-c and their fluctuations for different network size N. The clique percolation can be identified by the power-law finite-size effects of the averages and root mean squares of fluctuation. The finite-size scaling distribution functions of fluctuations are calculated. The universality class of the (k, l) clique percolation is characterized by the critical exponents of power-law finite-size effects. Using Monte Carlo simulations, we find that the Erdos-Renyi network experiences a series of (k, l) clique percolation with (k, l) = (2, 1), (3, 1), (3, 2), (4, 1), (4, 2), (4, 3), (5, 1). We find that the critical exponents and therefore the universality class of the (k, l) clique percolation depend on clique connection index l, but are independent of clique size k. Copyright (C) EPLA, 2014
2014
ISSN0295-5075
Volume107Issue:2Pages:28005
Subject AreaPhysics
DOI10.1209/0295-5075/107/28005
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11121403] ; National Natural Science Foundation of China [11121403] ; National Natural Science Foundation of China [11121403] ; National Natural Science Foundation of China [11121403]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15718
Collection理论物理所科研产出_SCI论文
Corresponding AuthorFan, JF (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Fan, JF,Chen, XS,Fan, JF . General clique percolation in random networks[J]. EPL,2014,107(2):28005.
APA Fan, JF,Chen, XS,&Fan, JF .(2014).General clique percolation in random networks.EPL,107(2),28005.
MLA Fan, JF,et al."General clique percolation in random networks".EPL 107.2(2014):28005.
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