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2015 | OriginalPaper | Buchkapitel

6. Evolution of Community Structure in Complex Networks

verfasst von : Lei Zhang, Jianyu Li, Shuangwen Chen, Xin Jin

Erschienen in: Proceedings of the 4th International Conference on Computer Engineering and Networks

Verlag: Springer International Publishing

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Abstract

Community structure has always been considered one of the most significant features in complex networks, and it plays an important role in the topology and function of networks. In this paper, we choose five data sets from various areas to detect the community structure and present two interesting results. We cut all the nodes in the networks from low degree to high degree and then obtain many networks with different scales. First, the relationship between the number of nodes of the maximal communities and the number of communities in the corresponding networks is studied and is shown to be linear. Second, when the number of nodes in the maximal communities increases, the increasing tendency of the number of its edges slows down, which reveals the sparsity of networks.

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Literatur
1.
Zurück zum Zitat Newman M. Networks: an introduction. New York: Oxford University Press; 2010.CrossRef Newman M. Networks: an introduction. New York: Oxford University Press; 2010.CrossRef
2.
Zurück zum Zitat Barrat A, Barthelemy M, Vespignani V. Dynamical process on complex networks. Cambridge: Cambridge University Press; 2008.CrossRef Barrat A, Barthelemy M, Vespignani V. Dynamical process on complex networks. Cambridge: Cambridge University Press; 2008.CrossRef
3.
4.
Zurück zum Zitat Leicht EA, Newman MEJ. Community structure in directed networks. Phys Rev Lett. 2008;100(11):118703.CrossRef Leicht EA, Newman MEJ. Community structure in directed networks. Phys Rev Lett. 2008;100(11):118703.CrossRef
5.
Zurück zum Zitat De Meo P, Nocera A, Terracina G, et al. Recommendation of similar users, resources and social networks in a social internt working scenario. Inf Sci. 2011;181(7):1285–305.CrossRef De Meo P, Nocera A, Terracina G, et al. Recommendation of similar users, resources and social networks in a social internt working scenario. Inf Sci. 2011;181(7):1285–305.CrossRef
6.
Zurück zum Zitat Durugbo C, Hutabarat W, Tiwari A, et al. Modelling collaboration using complex networks. Inf Sci. 2011;181(15):3143–61.CrossRef Durugbo C, Hutabarat W, Tiwari A, et al. Modelling collaboration using complex networks. Inf Sci. 2011;181(15):3143–61.CrossRef
7.
Zurück zum Zitat Hein DIO, Schwind DWIM, Konig W. Scale-free networks. Wirtschaftsinformatik. 2006;48(4):267–75.CrossRef Hein DIO, Schwind DWIM, Konig W. Scale-free networks. Wirtschaftsinformatik. 2006;48(4):267–75.CrossRef
8.
Zurück zum Zitat Caldarelli G, Vespignani A, editors. Large scale structure and dynamics of complex networks: from information technology to finance and natural science. New Jersey: Word Scientific; 2007. Caldarelli G, Vespignani A, editors. Large scale structure and dynamics of complex networks: from information technology to finance and natural science. New Jersey: Word Scientific; 2007.
10.
Zurück zum Zitat Porter MA, Onnela JP, Mucha PJ. Communities in networks. Not Am Math Soc. 2009;56(9):1082–97.MathSciNetMATH Porter MA, Onnela JP, Mucha PJ. Communities in networks. Not Am Math Soc. 2009;56(9):1082–97.MathSciNetMATH
11.
Zurück zum Zitat Arenas A, Fernandez A, Gomez S. Analysis of the structure of complex networks at different resolution levels. New J Phys. 2008;10(5):053039.CrossRef Arenas A, Fernandez A, Gomez S. Analysis of the structure of complex networks at different resolution levels. New J Phys. 2008;10(5):053039.CrossRef
12.
Zurück zum Zitat Fortunato S, Barthelemy M. Resolution limit in community dection. Proc Natl Acad Sci. 2007;104(1):36–41.CrossRef Fortunato S, Barthelemy M. Resolution limit in community dection. Proc Natl Acad Sci. 2007;104(1):36–41.CrossRef
13.
Zurück zum Zitat Fortunato S, Castellano C. Community structure in graphs. New York: Springer; 2012. p. 490–512. Fortunato S, Castellano C. Community structure in graphs. New York: Springer; 2012. p. 490–512.
14.
Zurück zum Zitat Liu J, Deng G. A collaborative recommendation method based on user network community with weighted spectral analysis. J Dalian Univ Technol. 2010;50(3):438–42. Liu J, Deng G. A collaborative recommendation method based on user network community with weighted spectral analysis. J Dalian Univ Technol. 2010;50(3):438–42.
15.
Zurück zum Zitat Cun R, Duan X, Liu X, Li Z. A physical community discovery algorithm. J Microelectronics Comput. 2010;27(9):33–6. Cun R, Duan X, Liu X, Li Z. A physical community discovery algorithm. J Microelectronics Comput. 2010;27(9):33–6.
16.
Zurück zum Zitat Traud AL, Kelsic ED, Mucha PJ, et al. Comparing community structure to characteristics in online collegiate social networks. SIAM Rev. 2011;53(3):526–43.CrossRefMathSciNet Traud AL, Kelsic ED, Mucha PJ, et al. Comparing community structure to characteristics in online collegiate social networks. SIAM Rev. 2011;53(3):526–43.CrossRefMathSciNet
17.
Zurück zum Zitat Lancichinetti A, Kivela M, Saramaki J, et al. Characterizing the community structure of complex networks. PLoS One. 2010;5(8):e11976.CrossRef Lancichinetti A, Kivela M, Saramaki J, et al. Characterizing the community structure of complex networks. PLoS One. 2010;5(8):e11976.CrossRef
18.
Zurück zum Zitat Bu D, Zhao Y, Cai L, et al. Topological structure analysis of the protein–protein interaction network in budding yeast. Nucleic Acids Res. 2003;31(9):2443–50.CrossRef Bu D, Zhao Y, Cai L, et al. Topological structure analysis of the protein–protein interaction network in budding yeast. Nucleic Acids Res. 2003;31(9):2443–50.CrossRef
19.
Zurück zum Zitat Leskovec J, Kleinberg J, Faloutsos C. Graph evolution: densification and shrinking diameters. ACM Trans Knowl Discov Data. 2007;1(1):0603229.CrossRef Leskovec J, Kleinberg J, Faloutsos C. Graph evolution: densification and shrinking diameters. ACM Trans Knowl Discov Data. 2007;1(1):0603229.CrossRef
20.
Zurück zum Zitat Ripeanu M, Foster I, Lamnitchi A. Mapping the gnutella network: Properties of large-scale peer-to-peer systems and implications for system design [J]. 2002. arXiv preprint cs/0209028 Ripeanu M, Foster I, Lamnitchi A. Mapping the gnutella network: Properties of large-scale peer-to-peer systems and implications for system design [J]. 2002. arXiv preprint cs/0209028
21.
Zurück zum Zitat De Meo P, Ferrara E, Fiumara G, et al. Enhancing community detection using a network weighting strategy. Inf Sci. 2013;222(1):648–68.CrossRefMATH De Meo P, Ferrara E, Fiumara G, et al. Enhancing community detection using a network weighting strategy. Inf Sci. 2013;222(1):648–68.CrossRefMATH
22.
Zurück zum Zitat Clauset A, Newman MEJ, Moore C. Finding community structure in very large networks. Phys Rev E. 2004;70(6):066111.CrossRef Clauset A, Newman MEJ, Moore C. Finding community structure in very large networks. Phys Rev E. 2004;70(6):066111.CrossRef
Metadaten
Titel
Evolution of Community Structure in Complex Networks
verfasst von
Lei Zhang
Jianyu Li
Shuangwen Chen
Xin Jin
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-11104-9_6

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