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

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Listed:
  • 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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    1. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
    2. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871.
    3. Leo Egghe & Ronald Rousseau, 2003. "A measure for the cohesion of weighted networks," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 54(3), pages 193-202, February.
    4. Sutton, John, 2003. "The variance of corporate growth rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 45-48.
    5. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
    6. 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.
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