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Overlapping Community Structure and Modular Overlaps in Complex Networks

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Mining Social Networks and Security Informatics

Part of the book series: Lecture Notes in Social Networks ((LNSN))

Abstract

In order to find overlapping community structure of complex networks, many researchers make endeavours. Here, we first discuss some existing functions proposed for measuring the quality of overlapping community structure. Second, we propose a novel algorithm called fuzzy detection for overlapping community detection. Our new method benefits from an existing partition detection technique and aims at identifying modular overlaps. A modular overlap is a group of overlapping nodes. Therefore, the overlaps shared by several communities are possibly grouped into several different modular overlaps. The results in synthetic networks and real networks demonstrate that our method can uncover and characterize meaningful overlapping nodes.

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Notes

  1. 1.

    http://snap.stanford.edu/data/wiki-Vote.html.

  2. 2.

    We do not mark “Sunbelt2” due to the visualization, since its position is too close to “CentralFlorida” in the figure.

  3. 3.

    In [18], the community which has size roughly 100 nodes is good.

  4. 4.

    We compute the frequency of topic keywords by aggregating the number of units (article), i.e., if only one unite contains the topic keywords “Neurons”, the corresponding frequency is 1.

References

  1. Albert R, Barabasi A-L (2002) Statistical mechanics of complex networks. Rev Mod Phys 74(1):47–97

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Aynaud T (2011) Détection de communautés dans les réseaux dynamiques. PhD thesis, Docteur de L’université Pierre et Marie Curie

    Google Scholar 

  3. Barmpoutis RM, Murray D (2010) Networks with the smallest average distance and the largest average clustering. arXiv:1007.4031 [q-bio.MN]

  4. Baumes J, Goldberg M, Magdon-Ismail M (2005) Efficient identification of overlapping communities. In: Intelligence and security informatics, proceedings, vol 3495, pp 27–36

    Chapter  Google Scholar 

  5. Bengtsson M, Roivainen P (1995) Using the potts glass for solving the clustering problem. Int J Neural Syst 6(2):119–132

    Article  Google Scholar 

  6. Blondel VD, Guillaume JL, Lambiotte R, Lefebvre E (2008) Fast unfolding of communities in large networks. J Stat Mech Theory Exp 2008(10):P10008. doi:10.1088/1742-5468/2008/10/p10008

    Article  Google Scholar 

  7. Evans TS, Lambiotte R (2009) Line graphs, link partitions, and overlapping communities. Phys Rev E 80(1):016105

    Article  ADS  Google Scholar 

  8. Gfeller D, Chappelier J-C, De Los Rios P (2005) Finding instabilities in the community structure of complex networks. Phys Rev E, Stat Nonlinear Soft Matter Phys 72(5):056135

    Article  ADS  Google Scholar 

  9. Girvan M, Newman MEJ (2002) Community structure in social and biological networks. Proc Natl Acad Sci USA 99:7821–7826

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Grauwin S, Beslon G, Fleury E, Franceschelli S, Robardet C, Rouquier J-B, Jensen P (2012) Complex systems science: dreams of universality, interdisciplinarity reality. J Am Soc Inf Sci Technol 63(7):1327–1338

    Article  Google Scholar 

  11. Hugot JP, Chamaillard M, Zouali H, Lesage S, Cézard JP, Belaiche J, Almer S, Tysk C, O’Morain CA, Gassull M, Binder V, Finkel Y, Cortot A, Modigliani R, Laurent-Puig P, Gower-Rousseau C, Macry J, Colombel JF, Sahbatou M, Thomas G (2001) Association of nod2 leucine-rich repeat variants with susceptibility to Crohn’s disease. Nature 411(6837):599–603

    Article  ADS  Google Scholar 

  12. Kessler MM (1963) Bibliographic coupling between scientific papers. Am Doc 14(1):10–25

    Article  Google Scholar 

  13. Krause AE, Frank KA, Mason DM, Ulanowicz RE, Taylor WW (2003) Compartments revealed in food-web structure. Nature 426(6964):282–285

    Article  ADS  Google Scholar 

  14. Lancichinetti A, Fortunato S, Kertesz J (2009) Detecting the overlapping and hierarchical community structure in complex networks. New J Phys 11:033015

    Article  Google Scholar 

  15. Lancichinetti A, Radicchi F, Ramasco JJ, Fortunato S (2010) Finding statistically significant communities in networks. PLoS ONE 6(4):e18961. doi:10.1371/journal.pone.0018961

    Article  Google Scholar 

  16. Lancichinetti A, Radicchi F, Ramasco JJ (2009) Statistical significance of communities in networks. Phys Rev E 81:046110. arXiv:0907.3708 [physics.soc-ph]

    Article  ADS  Google Scholar 

  17. Lee C, Reid F, McDaid A, Hurley N (2010) Detecting highly overlapping community structure by greedy clique expansion. In: Proceedings of the 4th SNA-KDD workshop. arXiv:1002.1827 [physics.data-an]

    Google Scholar 

  18. Leskovec J, Lang KJ, Dasgupta A, Mahoney MW (2009) Community structure in large networks: natural cluster sizes and the absence of large well-defined clusters. Internet Math 6(1):29–123. arXiv:0810.1355

    Article  MathSciNet  MATH  Google Scholar 

  19. Limbergen JV, Russell RK, Nimmo ER, Torkvist L, Lees CW, Drummond HE, Smith L, Anderson NH, Gillett PM, McGrogan P, Hassan K, Weaver LT, Bisset WM, Mahdi G, Arnott ID, Sjoqvist U, Lordal M, Farrington SM, Dunlop MG, Wilson DC, Satsangi J (2007) Contribution of the nod1/card4 insertion/deletion polymorphism +32656 to inflammatory bowel disease in northern Europe. Inflamm Bowel Dis 13(7):882–889

    Article  Google Scholar 

  20. Michon F, Tummers M (2009) The dynamic interest in topics within the biomedical scientific community. PLoS ONE 4(8):e6544–08

    Article  ADS  Google Scholar 

  21. Nepusz T, Petroczi A, Negyessy L, Bazso F (2008) Fuzzy communities and the concept of bridgeness in complex networks. Phys Rev E, Stat Nonlinear Soft Matter Phys 77(1):016107

    Article  MathSciNet  ADS  Google Scholar 

  22. Newman MEJ (2004) Analysis of weighted networks. Phys Rev E 70:056131

    Article  ADS  Google Scholar 

  23. Newman MEJ (2006) Finding community structure in networks using the eigenvectors of matrices. Phys Rev E 74:036104

    Article  MathSciNet  ADS  Google Scholar 

  24. Pu S, Wong J, Turner B, Cho E, Wodak SJ (2009) Up-to-date catalogues of yeast protein complexes. Nucleic Acids Res 37(3):825–831

    Article  Google Scholar 

  25. Reichardt J, Bornholdt S (2006) Statistical mechanics of community detection. Phys Rev E 74(1):016110

    Article  MathSciNet  ADS  Google Scholar 

  26. Sales-Pardo M, Guimera R, Moreira A, Amaral L (2007) Extracting the hierarchical organization of complex systems. Proc Natl Acad Sci USA 104(39):15224–15229

    Article  ADS  Google Scholar 

  27. Shen HW, Cheng XQ, Guo JF (2009) Quantifying and identifying the overlapping community structure in networks. J Stat Mech Theory Exp P07042. doi:10.1088/1742-5468/2009/07/P07042

  28. Traud A, Kelsic E, Mucha P, Porter M (2009) Community structure in online collegiate social networks. J Stat Mech Theory Exp 2009:P07042

    Article  Google Scholar 

  29. Wang XH, Jiao LC, Wu JS (2009) Adjusting from disjoint to overlapping community detection of complex networks. Phys A, Stat Mech Appl 388(24):5045–5056

    Article  Google Scholar 

  30. Zachary WW (1977) An information flow model for conflict and fission in small groups. J Anthropol 1(33):452–473

    Google Scholar 

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Correspondence to Qinna Wang .

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Wang, Q., Fleury, E. (2013). Overlapping Community Structure and Modular Overlaps in Complex Networks. In: Özyer, T., Erdem, Z., Rokne, J., Khoury, S. (eds) Mining Social Networks and Security Informatics. Lecture Notes in Social Networks. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6359-3_2

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  • DOI: https://doi.org/10.1007/978-94-007-6359-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6358-6

  • Online ISBN: 978-94-007-6359-3

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