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Modeling the Citation Network by Network Cosmology

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  • Zheng Xie
  • Zhenzheng Ouyang
  • Pengyuan Zhang
  • Dongyun Yi
  • Dexing Kong

Abstract

Citation between papers can be treated as a causal relationship. In addition, some citation networks have a number of similarities to the causal networks in network cosmology, e.g., the similar in-and out-degree distributions. Hence, it is possible to model the citation network using network cosmology. The casual network models built on homogenous spacetimes have some restrictions when describing some phenomena in citation networks, e.g., the hot papers receive more citations than other simultaneously published papers. We propose an inhomogenous causal network model to model the citation network, the connection mechanism of which well expresses some features of citation. The node growth trend and degree distributions of the generated networks also fit those of some citation networks well.

Suggested Citation

  • Zheng Xie & Zhenzheng Ouyang & Pengyuan Zhang & Dongyun Yi & Dexing Kong, 2015. "Modeling the Citation Network by Network Cosmology," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-13, March.
    • Handle: RePEc:plo:pone00:0120687
    DOI: 10.1371/journal.pone.0120687
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Zheng Xie & Xiaojun Duan & Zhenzheng Ouyang & Pengyuan Zhang, 2015. "Quantitative Analysis of the Interdisciplinarity of Applied Mathematics," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-11, September.
    2. Jorge A. V. Tohalino & Laura V. C. Quispe & Diego R. Amancio, 2021. "Analyzing the relationship between text features and grants productivity," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4255-4275, May.
    3. Pandey, Pradumn Kumar & Singh, Mayank & Goyal, Pawan & Mukherjee, Animesh & Chakrabarti, Soumen, 2020. "Analysis of reference and citation copying in evolving bibliographic networks," Journal of Informetrics, Elsevier, vol. 14(1).
    4. Xie, Zheng & Zhu, Jiang & Kong, Dexing & Li, Jianping, 2015. "A random geometric graph built on a time-varying Riemannian manifold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 492-498.
    5. Clough, James R. & Evans, Tim S., 2016. "What is the dimension of citation space?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 235-247.
    6. Xie, Zheng & Ouyang, Zhenzheng & Li, Jianping, 2016. "A geometric graph model for coauthorship networks," Journal of Informetrics, Elsevier, vol. 10(1), pages 299-311.
    7. Xie, Zonglin & Xie, Zheng & Li, Jianping & Yang, Qian, 2018. "Exploring the influence of social activity on scientific career," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 189-198.
    8. Zheng Xie & Zonglin Xie & Miao Li & Jianping Li & Dongyun Yi, 2017. "Modeling the coevolution between citations and coauthorship of scientific papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(1), pages 483-507, July.
    9. Xie, Zheng & Ouyang, Zhenzheng & Liu, Qi & Li, Jianping, 2016. "A geometric graph model for citation networks of exponentially growing scientific papers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 167-175.

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