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The effect of weight on community structure of networks

Author

Listed:
  • Fan, Ying
  • Li, Menghui
  • Zhang, Peng
  • Wu, Jinshan
  • Di, Zengru

Abstract

The effect of weight on community structures is investigated in this paper. We use weighted modularity Qw to evaluate the partitions and weighted extremal optimization algorithm to detect communities. Starting from empirical and idealized weighted networks, the matching between weights and edges are disturbed. Then using similarity function S to measure the difference between community structures, it is found that the redistribution of weights does strongly affect the community structure especially in dense networks. This indicates that the community structure in networks is a suitable property to reflect the role of weight.

Suggested Citation

  • Fan, Ying & Li, Menghui & Zhang, Peng & Wu, Jinshan & Di, Zengru, 2007. "The effect of weight on community structure of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 583-590.
    • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:583-590
    DOI: 10.1016/j.physa.2006.12.021
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    Citations

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    Cited by:

    1. Ramirez-Marquez, Jose E. & Rocco, Claudio M. & Barker, Kash & Moronta, Jose, 2018. "Quantifying the resilience of community structures in networks," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 466-474.
    2. Ramirez-Marquez, J.E. & Rocco, C.M. & Moronta, J. & Gama Dessavre, D., 2016. "Robustness in network community detection under links weights uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 88-95.
    3. John J Bartholdi & Pisit Jarumaneeroj & Amar Ramudhin, 2016. "A new connectivity index for container ports," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 18(3), pages 231-249, September.
    4. Rocco, Claudio M. & Moronta, José & Ramirez-Marquez, José E. & Barker, Kash, 2017. "Effects of multi-state links in network community detection," Reliability Engineering and System Safety, Elsevier, vol. 163(C), pages 46-56.

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