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Weighting links based on edge centrality for community detection

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  • Sun, Peng Gang

Abstract

Link weights have the equally important position as links in complex networks, and they are closely associated with each other for the emergence of communities. How to assign link weights to make a clear distinction between internal links of communities and external links connecting communities is of vital importance for community detection. Edge centralities provide a powerful approach for distinguishing internal links from external ones. Here, we first use edge centralities such as betweenness, information centrality and edge clustering coefficient to weight links of networks respectively to transform unweighted networks into weighted ones, and then a weighted function that both considers links and link weights is adopted on the weighted networks for community detection. We evaluate the performance of our approach on random networks as well as real-world networks. Better results are achieved on weighted networks with stronger weights of internal links of communities, and the results on unweighted networks outperform that of weighted networks with weaker weights of internal links of communities. The availability of our findings is also well-supported by the study of Granovetter that the weak links maintain the global integrity of the network while the strong links maintain the communities. Especially in the Karate club network, all the nodes are correctly classified when we weight links by edge betweenness. The results also give us a more comprehensive understanding on the correlation between links and link weights for community detection.

Suggested Citation

  • Sun, Peng Gang, 2014. "Weighting links based on edge centrality for community detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 346-357.
    • Handle: RePEc:eee:phsmap:v:394:y:2014:i:c:p:346-357
    DOI: 10.1016/j.physa.2013.08.048
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    References listed on IDEAS

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    1. Gergely Palla & Imre Derényi & Illés Farkas & Tamás Vicsek, 2005. "Uncovering the overlapping community structure of complex networks in nature and society," Nature, Nature, vol. 435(7043), pages 814-818, June.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

    1. Santiago, Rafael & Lamb, Luís C., 2017. "Efficient modularity density heuristics for large graphs," European Journal of Operational Research, Elsevier, vol. 258(3), pages 844-865.
    2. He, Dongxiao & Wang, Hongcui & Jin, Di & Liu, Baolin, 2016. "A model framework for the enhancement of community detection in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 602-612.
    3. Sun, Peng Gang, 2015. "Community detection by fuzzy clustering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 408-416.
    4. Hu, Fang & Liu, Yuhua, 2016. "A new algorithm CNM-Centrality of detecting communities based on node centrality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 446(C), pages 138-151.
    5. Chen, Chunchun & Zhu, Wenjie & Peng, Bo, 2022. "Differentiated graph regularized non-negative matrix factorization for semi-supervised community detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    6. Moradi-Jamei, Behnaz & Shakeri, Heman & Poggi-Corradini, Pietro & Higgins, Michael J., 2021. "A new method for quantifying network cyclic structure to improve community detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    7. Sun, Peng Gang & Sun, Xiya, 2017. "Complete graph model for community detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 88-97.
    8. Sho Tsugawa & Yukihiro Matsumoto & Hiroyuki Ohsaki, 2015. "On the robustness of centrality measures against link weight quantization in social networks," Computational and Mathematical Organization Theory, Springer, vol. 21(3), pages 318-339, September.

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