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Relationships among the statistical parameters in evolving modern Chinese linguistic co-occurrence networks

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  • Liang, Wei
  • Wang, Kunpeng

Abstract

A total of 206 co-occurrence networks of Chinese characters and words are constructed from modern Chinese articles. Spectra of the adjacency matrices especially the largest eigenvalues λ1, the second largest eigenvalues, the smallest eigenvalues, the number of different eigenvalues Nλ, the spectral distribution, and the spectral density ρ(λ) are computed and studied. Some formulas about the statistical parameters are given by applying multiple linear regression analysis. It is found that not only the growth trends of λ1 and Nλ but also the properties of spectral distributions and ρ(λ) do not change with the network size. Therefore, the spectral behavior of the modern Chinese linguistic topology is consistent over time unless something having a major impact on Chinese language happen.

Suggested Citation

  • Liang, Wei & Wang, Kunpeng, 2019. "Relationships among the statistical parameters in evolving modern Chinese linguistic co-occurrence networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 532-539.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:532-539
    DOI: 10.1016/j.physa.2019.04.100
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    References listed on IDEAS

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    1. Liang, Wei & Chen, Guanrong, 2016. "Spectral analysis of Chinese language: Co-occurrence networks from four literary genres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 49-56.
    2. Liang, Wei & Shi, Yuming & Huang, Qiuling, 2014. "Modeling the Chinese language as an evolving network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 268-276.
    3. Liang, Wei & Wang, Yanli & Shi, Yuming & Chen, Guanrong, 2015. "Co-occurrence network analysis of modern Chinese poems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 284-293.
    4. Liang, Wei & Shi, Yuming & Tse, Chi K. & Liu, Jing & Wang, Yanli & Cui, Xunqiang, 2009. "Comparison of co-occurrence networks of the Chinese and English languages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4901-4909.
    5. Liang, Wei & Wang, Yanli & Shi, Yuming & Chen, Guanrong, 2015. "Co-occurrence network analysis of Chinese and English poems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 315-323.
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