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Repel Communities and Multipartite Networks

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Complex Networks and Their Applications VIII (COMPLEX NETWORKS 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 881))

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Abstract

In graph theory, there are two complementary approaches to grouping nodes using the links for guidance. The first is finding the components; the second is finding multipartite partitions (vertex colorings). In network mining, the technique of community detection can be thought of as a relaxation of component finding. The results are groups that are all tightly connected but with some few connections between the groups. One can also envision a relaxation of multipartite partitions such that the groups have very few connections within the group but most of the links connect nodes in different groups. These groups, called repel communities, are discussed and three new algorithms are introduced to detect them.

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References

  1. Barber, M.: Modularity and community detection in bipartite networks. Phys. Rev. E 76, 066102 (2007)

    Article  MathSciNet  Google Scholar 

  2. Bearman, P., Moody, J., Stovel, K.: Chains of affection: the structure of adolescent romantic and sexual networks. Am. J. Sociol. 110, 44–91 (2004)

    Article  Google Scholar 

  3. Bondy, J., Murty, U.: Graph Theory. Elsevier, Amsterdam (1976)

    MATH  Google Scholar 

  4. Chartrand, G., Oellermann, O.: Applied and Algorithmic Graph Theory. McGraw Hill Inc., New York (1992)

    Google Scholar 

  5. Girvan, M., Newman, M.E.J.: Proc. Natl. Acad. Sci. 99, 7821–7826 (2002)

    Article  Google Scholar 

  6. Gleiser, P., Danon, L.: Community structure in Jazz. Adv. Complex Syst. 6, 565 (2003). http://deim.urv.cat/~aarenas/data/welcome.htm

    Article  Google Scholar 

  7. Jain, A., Dubes, R.: Algorithms for Clustering Data. Prentice-Hall Inc., Upper Saddle River (1988)

    MATH  Google Scholar 

  8. Kirkpatrick, S., Gelatt Jr., C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220, 671–680 (1983). http://www.sciencedirect.com/science/article/pii/0012365X90901469

    Article  MathSciNet  Google Scholar 

  9. Lancichinetti, A., Fortunato, S.: Community detection algorithms: a comparative analysis. Phys. Rev. E 80, 056117 (2009)

    Article  Google Scholar 

  10. Larremore, D., Clauset, A., Jacobs, A.: Efficiently inferring community structure in bipartite networks. Phys. Rev. E 90, 012805 (2014)

    Article  Google Scholar 

  11. LINQS: Statistical relational learning group. http://www.cs.umd.edu/linqs/

  12. Newman, M.: Networks: An Introduction. Oxford University Press, Oxford (2010)

    Book  Google Scholar 

  13. Newman, M., Girvan, M.: Finding and evaluating community structure in networks. Phys. Rev. E 69, 026113 (2004)

    Article  Google Scholar 

  14. Pardalos, P.M., Mavridou, T., Xue, J.: The graph coloring problem: a bibliographic survey. In: Handbook of combinatorial optimization, pp. 1077–1141. Springer (1999)

    Google Scholar 

  15. Porter, M., Onnela, J., Mucha, P.: Communities in networks. Not. Am. Math. Soc. 56, 1082–1097 (2009)

    MathSciNet  MATH  Google Scholar 

  16. Scripps, J., Trefftz, C.: Community finding within the community set space. In: ACM Workshop on Social Network Mining and Analysis (SNAKDD13) (2013)

    Google Scholar 

  17. SNAP: Stanford large network dataset collection. http://snap.stanford.edu/data/

  18. Teenage: Siena network statistical analysis program. http://stat.gamma.rug.nl/snijders/siena.html

  19. Trick: Michael trick’s datasets. http://mat.gsia.cmu.edu/COLOR/instances.html

  20. UCI machine learning repository. https://archive.ics.uci.edu/ml/datasets.html

  21. World wide knowledge base. http://www.cs.cmu.edu/~WebKB/

  22. Xie, J., Kelly, S., Szymanski, B.: Overlapping community detection in networks: the state of the art and comparative study. CoRR abs/1110.5813 (2011)

    Google Scholar 

  23. Zachary, W.W.: An information flow model for conflict and fission in small groups. J. Anthropol. Res. 33, 452–473 (1977)

    Article  Google Scholar 

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Correspondence to Jerry Scripps .

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Scripps, J., Trefftz, C., Wolffe, G., Ferguson, R., Cao, X. (2020). Repel Communities and Multipartite Networks. In: Cherifi, H., Gaito, S., Mendes, J., Moro, E., Rocha, L. (eds) Complex Networks and Their Applications VIII. COMPLEX NETWORKS 2019. Studies in Computational Intelligence, vol 881. Springer, Cham. https://doi.org/10.1007/978-3-030-36687-2_9

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