Skip to main content

Ant Colony Optimization with Markov Random Walk for Community Detection in Graphs

  • Conference paper
Advances in Knowledge Discovery and Data Mining (PAKDD 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6635))

Included in the following conference series:

Abstract

Network clustering problem (NCP) is the problem associated to the detection of network community structures. Building on Markov random walks we address this problem with a new ant colony optimization strategy, named as ACOMRW, which improves prior results on the NCP problem and does not require knowledge of the number of communities present on a given network. The framework of ant colony optimization is taken as the basic framework in the ACOMRW algorithm. At each iteration, a Markov random walk model is taken as heuristic rule; all of the ants’ local solutions are aggregated to a global one through clustering ensemble, which then will be used to update a pheromone matrix. The strategy relies on the progressive strengthening of within-community links and the weakening of between-community links. Gradually this converges to a solution where the underlying community structure of the complex network will become clearly visible. The performance of algorithm ACOMRW was tested on a set of benchmark computer-generated networks, and as well on real-world network data sets. Experimental results confirm the validity and improvements met by this approach.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Watts, D.J., Strogatz, S.H.: Collective Dynamics of Small-World Networks. Nature 393(6638), 440–442 (1998)

    Article  Google Scholar 

  2. Barabsi, A.L., Albert, R., Jeong, H., Bianconi, G.: Power-law distribution of the World Wide Web. Science 287(5461), 2115a (2000)

    Article  Google Scholar 

  3. Girvan, M., Newman, M.E.J.: Community Structure in Social and Biological Networks. Proceedings of National Academy of Science 9(12), 7821–7826 (2002)

    Article  MATH  Google Scholar 

  4. Santo, F.: Community Detection in Graphs. Physics Reports 486(3-5), 75–174 (2010)

    Article  Google Scholar 

  5. Newman, M.E.J.: Fast Algorithm for Detecting Community Structure in Networks. Physical Review E 69(6), 066133 (2004)

    Article  Google Scholar 

  6. Guimera, R., Amaral, L.A.N.: Functional cartography of complex metabolic networks. Nature 433(7028), 895–900 (2005)

    Article  Google Scholar 

  7. Barber, M.J., Clark, J.W.: Detecting Network Communities by Propagating Labels under Constraints. Phys. Rev. E 80(2), 026129 (2009)

    Article  Google Scholar 

  8. Jin, D., He, D., Liu, D., Baquero, C.: Genetic algorithm with local search for community mining in complex networks. In: Proc. of the 22th IEEE International Conference on Tools with Artificial Intelligence (ICTAI 2010), pp. 105–112. IEEE Press, Arras (2010)

    Chapter  Google Scholar 

  9. Palla, G., Derenyi, I., Farkas, I., Vicsek, T.: Uncovering the overlapping community structures of complex networks in nature and society. Nature 435(7043), 814–818 (2005)

    Article  Google Scholar 

  10. Yang, B., Cheung, W.K., Liu, J.: Community Mining from Signed Social Networks. IEEE Trans. on Knowledge and Data Engineering 19(10), 1333–1348 (2007)

    Article  Google Scholar 

  11. Zhang, Y., Wang, J., Wang, Y., Zhou, L.: Parallel Community Detection on Large Networks with Propinquity Dynamics. In: Proc. the 15th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, pp. 997–1005. ACM Press, Paris (2009)

    Chapter  Google Scholar 

  12. Morarescu, C.I., Girard, A.: Opinion Dynamics with Decaying Confidence: Application to Community Detection in Graphs. arXiv:0911.5239v1 (2010)

    Google Scholar 

  13. Strehl, A., Ghosh, J.: Cluster ensembles-a knowledge reuse framework for combining partitionings. Journal of Machine Learning Research 3, 583–617 (2002)

    MATH  Google Scholar 

  14. Milgram, S.: The Small World Problem. Psychology Today 1(1), 60–67 (1967)

    Google Scholar 

  15. Albert, R., Jeong, H., Barabasi, A.L.: Diameter of the World Wide Web. Nature 401, 130–131 (1999)

    Article  Google Scholar 

  16. Danon, L., Duch, J., Diaz-Guilera, A., Arenas, A.: Comparing community structure identification. J. Stat. Mech., P09008 (2005)

    Google Scholar 

  17. Zachary, W.W.: An Information Flow Model for conflict and Fission in Small Groups. J. Anthropological Research 33, 452–473 (1977)

    Article  Google Scholar 

  18. Lusseau, D.: The Emergent Properties of a Dolphin Social Network. Proc. Biol. Sci. 270, S186–S188 (2003)

    Google Scholar 

  19. Newman, M.E.J., Girvan, M.: Finding and Evaluating Community Structure in Networks. Phys. Rev. E 69(2), 026113 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jin, D., Liu, D., Yang, B., Baquero, C., He, D. (2011). Ant Colony Optimization with Markov Random Walk for Community Detection in Graphs. In: Huang, J.Z., Cao, L., Srivastava, J. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2011. Lecture Notes in Computer Science(), vol 6635. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20847-8_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-20847-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20846-1

  • Online ISBN: 978-3-642-20847-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics