Abstract
There is increasing motivation to study bipartite complex networks as a separate category and, in particular, to investigate their community structure. We outline recent work in the area and focus on two high-performing algorithms for unipartite networks, the modularity-based Louvain and the flow-based Infomap. We survey modifications of modularity-based algorithms to adapt them to the bipartite case. As Infomap cannot be applied to bipartite networks for theoretical reasons, our solution is to work with the primary projected network. We apply both algorithms to four projected networks of increasing size and complexity. Our results support the conclusion that the clusters found by Infomap are meaningful and better represent ground truth in the bipartite network than those found by Louvain.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Figure reprinted with permission from Ref. [28]. ©2014 by the American Physical Society.
- 2.
Infomap available for download on the link: www.mapequation.org/.
- 3.
Louvain available for download on the link: https://sites.google.com/site/findcommunities/.
References
Ahn, Y.Y., Bagrow, J.P., Lehmann, S.: Link communities reveal multiscale complexity in networks. Nature 466(7307), 761–764 (2010)
Aitkin, M., Vu, D., Francis, B.: Statistical modelling of a terrorist network (2013)
Aitkin, M., Vu, D., Francis, B.: Statistical modelling of the group structure of social networks. Soc. Netw. 38, 74–87 (2014)
Alzahrani, T., Horadam, K.J.: Analysis of two crime-related networks derived from bipartite social networks. In: Proceedings of 2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014), pp. 890–897. IEEE (2014)
Alzahrani, T., Horadam, K.J., Boztas, S.: Community detection in bipartite networks using random walks. Proceedings of CompleNet 2014. Springer Studies in Computational Intelligence, vol. 549, pp. 157–165 (2014)
Barber, M.J.: Modularity and community detection in bipartite networks. Phys. Rev. E 76(6), 066102 (2007)
Barber, M.J., Clark, J.W.: Detecting network communities by propagating labels under constraints. Phys. Rev. E 80(2), 026129 (2009)
Ben-Hur, A., Elisseeff, A., Guyon, I.: A stability based method for discovering structure in clustered data. Pac. Symp. Biocomput. 7, 6–17 (2002)
Blondel, V.D., Guillaume, J.L., Lambiotte, R., Lefebvre, E.: Fast unfolding of communities in large networks. J. Stat. Mech.: Theory Exp. 2008, P10008 (2008)
Crampes, M., Plantie, M.: A unified community detection, visualization and analysis method (2013). arXiv preprint arXiv:1301.7006
Danon, L., Diaz-Guilera, A., Duch, J., Arenas, A.: Comparing community structure identification. J. Stat. Mech.: Theory Exp. 2005, P09008 (2005)
Davis, A., Gardner, B.B., Gardner, M.R.: Deep South: A Social Anthropological Study of Caste and Class. University of Chicago Press, Chicago (1941)
Evans, T., Lambiotte, R.: Line graphs, link partitions, and overlapping communities. Phys. Rev. E 80(1), 016105 (2009)
Everton, S.F.: Disrupting Dark Networks. Cambridge University Press, Cambridge (2012)
Fortunato, S.: Community detection in graphs. Phys. Rep. 486(3), 75–174 (2010)
Fortunato, S., Barthelemy, M.: Resolution limit in community detection. Proc. Natl. Acad. Sci. USA 104(1), 36–41 (2007)
Freeman, L.C.: Finding social groups: a meta-analysis of the southern women data. In: Breiger, R., Carley, K.M., Pattison, P. (eds.) Dynamic Social Network Modeling and Analysis, pp. 39–97. National Academies Press, Washington (2003)
Girvan, M., Newman, M.E.: Community structure in social and biological networks. Proc. Natl. Acad. Sci. USA 99(12), 7821–7826 (2002)
Grunwald, P.D., Myung, I.J., Pitt, M.A.: Advances in Minimum Description Length: Theory and Applications. MIT Press, Cambridge (2005)
Guillaume, J.L., Latapy, M.: Bipartite structure of all complex networks. Inf. Process. Lett. 90(5), 215–221 (2004)
Guimera, R., Sales-Pardo, M., Amaral, L.S.A.N.: Modularity from fluctuations in random graphs and complex networks. Phys. Rev. E 70(2), 025101 (2004)
Guimera, R., Sales-Pardo, M., Amaral, L.S.A.N.: Module identification in bipartite and directed networks. Phys. Rev. E 76(3), 036102 (2007)
Huffman, D.A.: A method for the construction of minimum-redundancy codes. Proc. IRE 40(9), 1098–1101 (1952)
Hu, Y., Chen, H., Zhang, P., Li, M., Di, Z., Fan, Y.: Comparative definition of community and corresponding identifying algorithm. Phys. Rev. E 78(2), 026121 (2008)
International Crisis Group: Terrorism in Indonesia: Noordin’s Networks. Asia Report no. 114, Brussels, Belgium (2006)
Internet Movie Database original database [Online]
Lancichinetti, A., Fortunato, S., Radicchi, F.: Benchmark graphs for testing community detection algorithms. Phys. Rev. E 78(4), 046110 (2008)
Lancichinetti, A., Fortunato, S.: Community detection algorithms: a comparative analysis. Phys. Rev. E 80(5), 056117 (2009)
Lancichinetti, A., Fortunato, S.: Erratum: Community detection algorithms: A comparative analysis. Phys. Rev. E 80, 056117 (2009) (Phys. Rev. E, 89(4), 049902 (2014))
Levin, D.A., Peres, Y., Wilmer, E.L.: Markov Chains and Mixing Times. American Mathematical Society, Providence (2009)
Liu, X., Murata, T.: An efficient algorithm for optimizing bipartite modularity in bipartite networks. JACIII 14, 408–415 (2010)
Mukherjee, A., Choudhury, M., Ganguly, N.: Understanding how both the partition of a bipartite network affect its one-mode projection. Phys. A 390(20), 3602–3607 (2011)
Newman, M.E.: The structure and function of complex networks. SIAM Rev. 45(2), 167–256 (2003)
Newman, M.E.: Finding community structure in networks using the eigenvectors of matrices. Phys. Rev. E 74(3), 036104 (2006)
Newman, M.E., Girvan, M.: Finding and evaluating community structure in networks. Phys. Rev. E 69(2), 026113 (2004)
Nishikawa, T., Motter, A.E., Lai, Y.C., Hoppensteadt, F.C.: Heterogeneity in oscillator networks: are smaller worlds easier to synchronize? Phys. Rev. Lett. 91(1), 014101 (2003)
NSW Bureau of Crime Statistics and Research. Dataset [Online]. NSW Crime data (2008)
Orman, G.K., Labatut, V., Cherifi, H.: On accuracy of community structure discovery algorithms (2011). arXiv preprint arXiv:1112.4134
Palla, G., Derenyi, I., Farkas, I., Vicsek, T.: Uncovering the overlapping community structure of complex networks in nature and society. Nature 435(7043), 814–818 (2005)
Peixoto, T.P.: Parsimonious module inference in large networks. Phys. Rev. Lett. 110, 148701 (2013). (Erratum. Phys. Rev. Lett. 110(16), 169905 (2013))
Pons, P., Latapy, M.: Computing communities in large networks using random walks. J. Graph Algorithms Appl. 10(2), 191–218 (2006)
Preiss, B.R.: Data Structures and Algorithms with Object-Oriented Design Patterns in C++. Wiley Press, New York (1997)
Radicchi, F., Castellano, C., Cecconi, F., Loreto, V., Parisi, D.: Defining and identifying communities in networks. Proc. Natl. Acad. Sci. USA 101(9), 2658–2663 (2004)
Raghavan, U.N., Albert, R.K., Kumara, S.: Near linear time algorithm to detect community structures in large-scale networks. Phys. Rev. E 76(3), 036106 (2007)
Radicchi, F., Castellano, C., Cecconi, F., Loreto, V., Parisi, D.: Defining and identifying communities in networks. Proc. Natl. Acad. Sci. 101(9), 2658–2663 (2004)
Roberts, N., Everton, S.F.: Strategies for combating dark networks. J. Soc. Struct. 12, 1–32 (2011)
Rosvall, M., Bergstrom, C.T.: Maps of random walks on complex networks reveal community structure. Proc. Natl. Acad. Sci. 105(4), 1118–1123 (2008)
Zhou, T., Lu, L., Zhang, Y.C.: Predicting missing links via local information. Eur. Phys. J. B 71(4), 623–630 (2009)
Acknowledgments
We are very grateful to Assoc. Prof. Murray Aitken for supplying us with the cleaned affiliation network data for the Noordin Top terrorist network; to Dr Tiago Peixoto for supplying us with the cleaned IMDB database; and to Assoc. Prof. Chris Bellman and Ms Sarah Taylor for assistance in using the ArcGIS mapping software on our clustered NSW crime network. The first author would like to thank the Ministry of Finance of Saudi Arabia for supporting his research. The work of the second author was partly supported by Department of Defence of Australia Agreement 4500743680. This work forms part of the PhD thesis of the first author, taken under the supervision of the second author.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Alzahrani, T., Horadam, K.J. (2016). Community Detection in Bipartite Networks: Algorithms and Case studies. In: Lü, J., Yu, X., Chen, G., Yu, W. (eds) Complex Systems and Networks. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47824-0_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-47824-0_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-47823-3
Online ISBN: 978-3-662-47824-0
eBook Packages: EngineeringEngineering (R0)