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Refinement of the community detection performance by weighted relationship coupling

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Abstract

The complexity of many community detection algorithms is usually an exponential function with the scale which hard to uncover community structure with high speed. Inspired by the ideas of the famous modularity optimization, in this paper, we proposed a proper weighting scheme utilizing a novel k-strength relationship which naturally represents the coupling distance between two nodes. Community structure detection using a generalized weighted modularity measure is refined based on the weighted k-strength matrix. We apply our algorithm on both the famous benchmark network and the real networks. Theoretical analysis and experiments show that the weighted algorithm can uncover communities fast and accurately and can be easily extended to large-scale real networks.

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References

  1. M E J Newman, Phys. Rev. E 69, 066133 (2004)

    Article  ADS  Google Scholar 

  2. M E J Newman and M Girvan, Phys. Rev. E 69, 026113 (2004)

    Article  ADS  Google Scholar 

  3. H J Li, Y Wang, L Y Wu, Z P Liu, L Chen and X S Zhang, Eur. Phys. Lett. 86(1), 012801 (2012)

    Google Scholar 

  4. M Girvan and M E J Newman, Proc. Natl Acad. Sci. 99, 7821 (2002)

    Article  ADS  Google Scholar 

  5. X S Zhang, R S Wang, Y Wang, J Wang, Y Qiu, L Wang and L Chen, Eur. Phys. Lett. 87, 38002 (2009)

    Article  ADS  Google Scholar 

  6. X S Zhang, Z Li, R S Wang and Y Wang, J. Comb. Optim. 23(4), 425 (2012)

    Article  Google Scholar 

  7. L C Huang, T J Yen and S C T Chou, International Conference on Advances in Social Networks Analysis and Mining, IEEE Computer Society, pp. 110–117 (2011)

  8. Peter J Mucha et al, Science 328, 876 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  9. R Guimera and L A N Amaral, Nature 433, 895 (2005)

    Article  ADS  Google Scholar 

  10. B W Kernighan and S Lin, Bell System Tech. J. 49, 291 (1970)

    Article  Google Scholar 

  11. H J Li and X S Zhang, Eur. Phys. Lett. 103, 58002 (2013)

    Article  ADS  Google Scholar 

  12. H J Li, Y Wang, L Y Wu, J Zhang and X S Zhang, Phys. Rev. E 86, 016109 (2012)

    Article  ADS  Google Scholar 

  13. F Radicchi, C Castellano and F Cecconi, Proc. Natl Acad. Sci. 101, 2658 (2004)

    Article  ADS  Google Scholar 

  14. V D Blondel, J L Guillaume, R Lambiotte and E Lefebvre, J. Stat. Mech. 10, 10008 (2005)

    Google Scholar 

  15. B H Good, Y-A de Montjoye and A Clauset, Phys. Rev. E 81, 046106 (2010)

  16. A Arenas, A Fernandez and S Gomez, New J. Phys. 10(5), 053039 (2008)

    Article  ADS  Google Scholar 

  17. M Latapy and P Pons, Proceedings of the 20th International Symposium on Computer and Information Sciences, Lect. Notes Comput. Sci., 3733, 284 (2005)

  18. N Guttmann-Beck and Hassin, Algorithmica 27, 198 (2000)

    Article  MathSciNet  Google Scholar 

  19. H W Su, Int. Rev. Comput. Software 7(7), 3782 (2012)

    Google Scholar 

  20. M R Garey and D S Jonson, Computers and intractability: A guide to the theory of NP-completeness (Freeman, San Francisco, CA, 1979)

  21. H J Li, H Wang and L Chen, Eur. Phys. Lett. 108(6), 68009 (2015)

    ADS  Google Scholar 

  22. M Rosvall and C T Bergstrom, Proc. Natl Acad. Sci. 105(4), 1118 (2008)

    Article  ADS  Google Scholar 

  23. W Zachary, J. Anthropol. Res. 33, 452 (1977)

  24. A Clauset, M E J Newman and C Moore, Phys. Rev. E 70(6), 066111 (2004)

    Article  ADS  Google Scholar 

  25. J Duch and A Arenas, Phys. Rev. E 72(2), 027104 (2005)

    Article  ADS  Google Scholar 

  26. S Boccaletti, M Ivanchenko, V Latora and A Pluchino, Phys. Rev. E 75(4), 045102 (2007)

    Article  ADS  Google Scholar 

  27. P Ronhovde and Z Nussinov, Phys. Rev. E 81(4), 046114 (2010)

    Article  ADS  Google Scholar 

  28. L Danon, J Duch, D Guilera and A Arenas, J. Stat. Mech. 29, 09008 (2005)

    Article  Google Scholar 

  29. H J Li and J Daniels, Phys. Rev. E 91(1), 012801 (2015)

    Article  ADS  Google Scholar 

  30. Z P Li, S H Zhang, R S Wang, X S Zhang and L Chen, Phys. Rev. E 77, 036109 (2008)

    Article  ADS  Google Scholar 

  31. A Lancichinetti and S Fortunato, Phys. Rev. E 80, 056117 (2009)

    Article  ADS  Google Scholar 

  32. G Agarwal and D Kempe, Eur. Phys. J. B 66(3), 409 (2008)

    Article  ADS  Google Scholar 

  33. D E Knuth, The Stanford GraphBase: A platform for combinatorial computing (Addison Wesley Professional, Reading, CA, 1993) Vol. 37, p. 592

  34. P Gleiser and L Danon, Adv. Complex Syst. 6, 565 (2003)

    Article  Google Scholar 

  35. M Boguna, R Pastor-Satorras, A Diaz-Guilera and A Arenas, Phys. Rev. E 70(5), 056122 (2004)

    Article  ADS  Google Scholar 

  36. D Lusseau, K Schneider, O J Boisseau, P Haase, E Slooten and S M Dawson, Behav. Ecol. Sociobiol. 54(4), 396 (2003)

    Article  Google Scholar 

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Acknowledgements

The authors are grateful for the detailed reviews and constructive comments of the reviewers, which have greatly improved the quality of this paper. The research was supported in part by MOE (Ministry of Education in China), Liberal Arts and Social Sciences Foundation Grant No. 12YJA870013, NSFC grants 71561025, 71401194, 91324203 and Ph.D. research foundation of Xinjiang University of Finance and Economics Grant No. 2015BS004.

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Correspondence to KAI YU.

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MIN, D., YU, K. & LI, HJ. Refinement of the community detection performance by weighted relationship coupling. Pramana - J Phys 88, 44 (2017). https://doi.org/10.1007/s12043-016-1343-2

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  • DOI: https://doi.org/10.1007/s12043-016-1343-2

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