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A near-optimal adaptive algorithm for maximizing modularity in dynamic scale-free networks

Author

Listed:
  • Thang N. Dinh

    (University of Florida)

  • Nam P. Nguyen

    (University of Florida
    Towson University)

  • Md Abdul Alim

    (University of Florida)

  • My T. Thai

    (University of Florida)

Abstract

We introduce A $$^3$$ 3 CS, an adaptive framework with approximation guarantees for quickly identifying community structure in dynamic networks via maximizing Modularity Q. Our framework explores the advantages of the power-law distribution property found in many real-world complex systems. The framework is scalable for very large networks, and more excitingly, possesses approximation factors to ensure the quality of its detected community structure. To the best of our knowledge, this is the first framework that achieves approximation guarantees for the NP-hard Modularity maximization problem, especially on dynamic scale-free networks. To certify our approach, we conduct extensive experiments in comparison with other adaptive methods on both synthesized networks with known community structures and real-world traces including ArXiv e-print citation and Facebook social networks. Excellent empirical results not only confirm our theoretical results but also promise the practical applicability of A $$^3$$ 3 CS in a wide range of dynamic networks.

Suggested Citation

  • Thang N. Dinh & Nam P. Nguyen & Md Abdul Alim & My T. Thai, 2015. "A near-optimal adaptive algorithm for maximizing modularity in dynamic scale-free networks," Journal of Combinatorial Optimization, Springer, vol. 30(3), pages 747-767, October.
    • Handle: RePEc:spr:jcomop:v:30:y:2015:i:3:d:10.1007_s10878-013-9665-1
    DOI: 10.1007/s10878-013-9665-1
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    References listed on IDEAS

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    4. Barabási, A.L & Jeong, H & Néda, Z & Ravasz, E & Schubert, A & Vicsek, T, 2002. "Evolution of the social network of scientific collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 590-614.
    5. Andrea Lancichinetti & Filippo Radicchi & José J Ramasco & Santo Fortunato, 2011. "Finding Statistically Significant Communities in Networks," PLOS ONE, Public Library of Science, vol. 6(4), pages 1-18, April.
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