Multi-scale community detection using stability optimisation

International Journal of Web Based Communities

Volumn 9, Issue 3, 2013, Pages 323-348

  Le Martelot, Erwan ^a   Hankin, Chris ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Community detection; Markov process; Multi scale; Overlapping communities; Random walks; Stability

Indexed keywords

COMPLEX NETWORKS; CONVERGENCE OF NUMERICAL METHODS; MARKOV PROCESSES; OPTIMIZATION; POPULATION DYNAMICS;

COMMUNITY DETECTION; MULTI-SCALE; OPTIMISATION CRITERION; OPTIMISATIONS; ORIGINAL SYSTEMS; OVERLAPPING COMMUNITIES; PARTITION QUALITY; RANDOM WALK;

STABILITY;

EID: 84880175830     PISSN: 14778394     EISSN: 17418216     Source Type: Journal    
DOI: 10.1504/IJWBC.2013.054907     Document Type: Article

References (33)

1. Ahn, Y-Y., Bagrow, J.P. and Lehmann, S. (2010) 'Link communities reveal multiscale complexity in networks', Nature, August, Vol. 466, No. 7307, pp.761-764.
2. Arenas, A., Díaz-Guilera, A. and Pérez-Vicente, C.J. (2006) 'Synchronization reveals topological scales in complex networks', Physical Review Letters, March, Vol. 96, No. 11, p.114102.
3. Arenas, A., Fernandez, A. and Gomez, S. (2008) 'Analysis of the structure of complex networks at different resolution levels', New Journal of Physics, January, Vol. 10, p.053039.
4. Blondel, V.D., Guillaume, J-L., Lambiotte, R. and Lefebvre, E. (2008) 'Fast unfolding of communities in large networks', Journal of Statistical Mechanics: Theory and Experiment, Vol. 10, No. 10, pp.1742-5468.
5. Clauset, A., Newman, M.E.J. and Moore, C. (2004) 'Finding community structure in very large networks', Physical Review E, August, Vol. 70, No. 6, p.066111.
6. Danon, L., Díaz-Guilera, A., Duch, J. and Arenas, A. (2005) 'Comparing community structure identification', Journal of Statistical Mechanics: Theory and Experiment, September, Vol. 2005, No. 9, p.09008.
7. Delvenne, J-C., Yaliraki, S.N. and Barahona, M. (2010) 'Stability of graph communities across time scales', PNAS, Vol. 107, No. 29, pp.12755-12760.
8. Evans, T.S. and Lambiotte, R. (2009) 'Line graphs, link partitions, and overlapping communities', Phys. Rev. E, July, Vol. 80, No. 1, p.016105.
9. Fortunato, S. (2010) 'Community detection in graphs', Physics Reports, Vol. 486, Nos. 3-5, pp.75-174.
10. Fred, A.L.N. and Jain, A.K. (2003) 'Robust data clustering', IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Vol. 2, pp.128-133.
11. Girvan, M. and Newman, M.E.J. (2002) 'Community structure in social and biological networks', PNAS, Vol. 99, No. 12, pp.7821-7826.
12. Harary, F. and Norman, R. (1960) 'Some properties of line digraphs', Rendiconti del Circolo Matematico di Palermo, Vol. 9, No. 2, pp.161-168, 10.1007/BF02854581.
13. Kernighan, B.W. and Lin, S. (1970) 'An efficient heuristic procedure for partitioning graphs', The Bell System Technical Journal, Vol. 49, No. 1, pp.291-307.
14. Khadivi, A., Rad, A.A. and Hasler, M. (2011) 'Network community-detection enhancement by proper weighting', Physical Review E, April, Vol. 83, No. 4, p.046104.
15. Knuth, D.E. (1993) The Stanford GraphBase. A Platform for Combinatorial Computing, Addison-Wesley, Reading, MA.
16. Krebs, V. (2008) Books about us politics [online] http://www.orgnet.com (accessed in 2011/2012).
17. Le Martelot, E. and Hankin, C. (2011) 'Multi-scale community detection using stability as optimisation criterion in a greedy algorithm', in Proceedings of the 2011 International Conference on Knowledge Discovery and Information Retrieval (KDIR 2011), SciTePress, Paris, October, pp.216-225.
18. Leskovec, J., Lang, K.J., Dasgupta, A. and Mahoney, M.W. (2008) 'Statistical properties of community structure in large social and information networks', in Proceeding of the 17th International Conference on World Wide Web, WWW '08, pp.695-704, ACM, New York, NY, USA.
19. Lusseau, D. and Newman, M.E.J. (2004) 'Identifying the role that individual animals play in their social network', Proceedings of the Royal Society London B, Vol. 271: pp.S477-S481.
20. Lusseau, D., Schneider, K., Boisseau, O.J., Haase, P., Slooten, W. and Dawson, S.M. (2003) 'The bottlenose dolphin community of doubtful sound features a large proportion of long-lasting associations. Can geographic isolation explain this unique trait?', Behavioral Ecology and Sociobiology, Vol. 54, No. 4, pp.396-405.
21. Medus, A., Acuna, G. and Dorso, C. (2005) 'Detection of community structures in networks via global optimization', Physica A: Statistical Mechanics and its Applications, December, Vol. 358, Nos. 2-4, pp.593-604.
22. Newman, M.E.J. (2004) 'Fast algorithm for detecting community structure in networks', Physical Review E, June, Vol. 69, No. 6, p.066133.
23. Newman, M.E.J. (2006) 'Modularity and community structure in networks', PNAS, June, Vol. 103, No. 23, pp.8577-8582.
24. Newman, M.E.J. and Girvan, M. (2004) 'Finding and evaluating community structure in networks', Physical Review E, February, Vol. 69, No. 2, p.026113.
25. Ovelgönne, M., Geyer-Schulz, A. and Stein, M. (2010) 'Randomized greedy modularity optimization for group detection in huge social networks', in Proceedings of the 4th SNAKDD Workshop '10 (SNA-KDD'10), Washington, DC, USA, July, pp.1-9.
26. Pereira-Leal, J.B., Enright, A.J. and Ouzounis, C.A. (2004) 'Detection of functional modules from protein interaction networks', Proteins, Vol. 54, No. 1, pp.49-57.
27. Pizzuti, C. (2009) 'Overlapped community detection in complex networks', in Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, GECCO '09, ACM, New York, NY, USA, pp.859-866.
28. Ravasz, E. and Barabási, A.L. (2003) 'Hierarchical organization in complex networks', Physical Review E, February, Vol. 67, No. 2, p.026112.
29. Reichardt, J. and Bornholdt, S. (2006) 'Statistical mechanics of community detection', Phys Rev E, July, Vol. 74, Vol. 1, Pt. 2, p.016110.
30. Ronhovde, P. and Nussinov, Z. (2010) 'Local resolution-limit-free potts model for community detection', Physical Review E, April, Vol. 81, No. 4, p.046114.
31. Schuetz, P. and Caflisch, A. (2008) 'Efficient modularity optimization by multistep greedy algorithm and vertex mover refinement', Physical Review E, April, Vol. 77, No. 4, p.046112.
32. Simon, H.A. (1962) 'The architecture of complexity', in Proceedings of the American Philosophical Society, American Philosophical Society, pp.467-482.
33. Zachary, W.W. (1977) 'An information flow model for conflict and fission in small groups', Journal of Anthropological Research, Vol. 33, No. 4, pp.452-473.