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Weighted networks of scientific communication: the measurement and topological role of weight

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  • Li, Menghui
  • Fan, Ying
  • Chen, Jiawei
  • Gao, Liang
  • Di, Zengru
  • Wu, Jinshan

Abstract

In order to take the weight of connection into consideration and to find a natural measurement of weight, we have collected papers in Econophysics and constructed a network of scientific communication to integrate idea transportation among econophysicists by collaboration, citation and personal discussion. Some basic statistics such as weight per degree are discussed in Fan et al. J. Mod. Phys. B (17–19) (2004) 2505. In this paper, by including the papers published recently, further statistical results for the network are reported. Clustering coefficient of weighted networks is introduced and empirically studied in this network. We also compare the typical statistics on this network under different weight assignments, including random and inverse weight. The conclusion from weight-redistributed network is helpful to the investigation of the topological role of weight.

Suggested Citation

  • Li, Menghui & Fan, Ying & Chen, Jiawei & Gao, Liang & Di, Zengru & Wu, Jinshan, 2005. "Weighted networks of scientific communication: the measurement and topological role of weight," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 643-656.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:643-656
    DOI: 10.1016/j.physa.2004.11.039
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    Cited by:

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    9. Gu, Ke & Fan, Ying & Zeng, An & Zhou, Jianlin & Di, Zengru, 2018. "Analysis on large-scale rating systems based on the signed network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 99-109.
    10. Li, Yongjun & You, Chun, 2013. "What is the difference of research collaboration network under different projections: Topological measurement and analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3248-3259.
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    12. Zhang, Xin-Jie & Tang, Yong & Xiong, Jason & Wang, Wei-Jia & Zhang, Yi-Cheng, 2020. "Ranking game on networks: The evolution of hierarchical society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    13. Yu Tian & Sebastian Lautz & Alisdiar O. G. Wallis & Renaud Lambiotte, 2021. "Extracting Complements and Substitutes from Sales Data: A Network Perspective," Papers 2103.02042, arXiv.org, revised Aug 2021.

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