Abstract
Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but instead of trying to focus on local social ties and modeling multi-scales of social interactions occurring in those networks. Our method for the first time optimizes the topological entropy of a network and uncovers communities through a novel dynamic system converging to a local minimum by simply updating the membership vector with very low computational complexity. It naturally supports overlapping communities through associating each node with a membership vector which describes node’s involvement in each community. Furthermore, different multi-scale partitions can be obtained by tuning the characteristic size of modules from the optimal partition. Because of the high efficiency and accuracy of the algorithm, it is feasible to be used for the accurate detection of community structures in real networks.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A.L. Barabási, R. Albert, Science 286, 509 (1999)
R. Albert, A.L. Barabási, H. Jeong, Nature 401, 130 (1999)
X.G. Li, Z.Y. Gao, K.P. Li, X.M. Zhao, Phys. Rev. E 76, 016110 (2007)
F. Liljeros, C.R. Edling, L.A.N. Amaral, H.E. Stanley, Y. Aberg, Nature 411, 907 (2001)
A. Sumiyoshi, S. Norikazu, Phys. Rev. E 74, 026113 (2006)
M.E.J. Newman, Phys. Rev. E 69, 066133 (2004)
M.E.J. Newman, M. Girvan, Phys. Rev. E 69, 026113 (2004)
M.E.J. Newman, Proc. Natl. Acad. Sci. 103, 8577 (2006)
L. Danon, J. Duch, D. Guilera, A. Arenas, J. Stat. Mech. 29, P09008 (2005)
X.S. Zhang, R.S. Wang, Y. Wang, J. Wang, Y. Qiu, L. Wang, L. Chen, Europhys. Lett. 87, 38002 (2009)
A. Clauset, M.E.J. Newman, C. Moore, Phys. Rev. E 70, 066111 (2004)
M.E.J. Newman, Phys. Rev. E 74, 036104 (2006)
Z.P. Li, S.H. Zhang, R.S. Wang, X.S. Zhang, L. Chen, Phys. Rev. E 77, 036109 (2007)
T. Evans, R. Lambiotte, Eur. Phys. J. B 77, 265 (2010)
P.J. Mucha, T. Richardson, K. Macon, M.A. Porter, J.P. Onnela, Science 328, 876 (2010)
G. Palla, I. Derényi, I. Farkas, T. Vicsek, Nature 435, 814 (2005)
H.J. Li, Y. Wang, L.Y. Wu, Z.P. Liu, L. Chen, X.S. Zhang, Europhys. Lett. 97, 48005 (2012)
J.S. Baras, P. Hovareshti, Proceedings of 47th IEEE Conference on Decision and Control (2008), pp. 2973–2978
D. Gfeller, J.C. Chappelier, P. De Los Rios, Phys. Rev. E 72, 056135 (2005)
G. Bianconi, P. Pin, M. Marsili, Proc. Natl. Acad. Sci. 106, 11433 (2009)
E. Ravasz, A.L. Barabási, Phys. Rev. E 67, 026112 (2003)
D.B. Chen, M.S. Shang, Y. Fu, Physica A 389, 4177 (2010)
M.S. Shang, D.B. Chen, T. Zhou, Chin. Phys. Lett. 27, 058901 (2010)
A. Lancichinetti, S. Fortunato, Phys. Rev. E 80, 016118 (2009)
W.W. Zachary, J. Anthropol. Res. 33, 452 (1977)
M. Girvan, M.E.J. Newman, Proc. Natl. Acad. Sci. 99, 7821 (2002)
G. Palla, A.L. Barabási, T. Vicsek, Nature 446, 664 (2007)
V.D. Blondel, J.L. Guillaume, R. Lambiotte, E. Lefebvre, J. Stat. Mech. 10, P10008 (2005)
M. Rosvall, C.T. Bergstrom, Proc. Natl. Acad. Sci. 105, 1118 (2008)
A. Lancichinetti, S. Fortunato, Phys. Rev. E 80, 056117 (2009)
M.E.J. Newman, Eur. Phys. J. B 38, 321 (2004)
J. Zhang, S. Zhang, X.S. Zhang, Physica A 387, 1675 (2008)
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Li, H.J., Zhang, J., Liu, Z.P. et al. Identifying overlapping communities in social networks using multi-scale local information expansion. Eur. Phys. J. B 85, 190 (2012). https://doi.org/10.1140/epjb/e2012-30015-5
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2012-30015-5