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Remarks on Network Community Properties

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Abstract

This paper discusses a popular community definition in complex network research in terms of the conditions under which a community is minimal, that is, the community cannot be split into several smaller communities or split and reorganized with other network elements into new communities. The result provides a base on which further optimization computation of the quantitative measure for community identification can be realized.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Jiguang WANG, Yuqing QIU & Xiangsun ZHANG

  2. Graduate University of the Chinese Academy of Sciences, Beijing, 100049, China

    Jiguang WANG & Yuqing QIU

  3. School of Information, Renmin University of China, Beijing, 100872, China

    Ruisheng WANG

Authors
  1. Jiguang WANG
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  2. Yuqing QIU
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  3. Ruisheng WANG
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  4. Xiangsun ZHANG
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Corresponding author

Correspondence to Xiangsun ZHANG.

Additional information

The research is supported by the Ministry of Science and Technology of China under Grant No. 2006CB503905. Some authors are also supported by the National Natural Science Foundation of China under Grant Nos. 10631070 and 10701080, and the JSPS(Japan Society for the Promotion of Science)-NSFC(National Natural Science Foundation of China) collaboration project under Grant No. 10711140116.

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WANG, J., QIU, Y., WANG, R. et al. Remarks on Network Community Properties. J Syst Sci Complex 21, 637–644 (2008). https://doi.org/10.1007/s11424-008-9140-8

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  • DOI: https://doi.org/10.1007/s11424-008-9140-8

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