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Adjacency spectra of Chinese character co-occurrence networks in different historical periods

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  • Liang, Wei
  • Chen, Guanrong
  • Zhang, Zihan

Abstract

The spectrum of a network provides important information about its global structure. For Chinese character co-occurrence networks constructed from articles published in 11 different historical periods in China, the spectra and eigenvectors of their adjacency matrices are studied. It is found that the middle part of the spectral distribution can be fitted by a line with slope −0.01 in each incorporated network, whereas two segments with the same slope −0.02 are needed for other single networks. If the eigenvalues, λi, are listed in decreasing order, then the formers depend on their ranks, i, in the form of λi∝−βlogi, where 1.70≤β≤9.69. In the spectral density ρ(λ), there is a triangle-like shape in each of the incorporated networks, while the ρ(λ) values are nearly symmetrical in each single network. These and other results indicate that the spectra and eigenvectors can provide useful insight into the structural properties of Chinese linguistic networks.

Suggested Citation

  • Liang, Wei & Chen, Guanrong & Zhang, Zihan, 2019. "Adjacency spectra of Chinese character co-occurrence networks in different historical periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314542
    DOI: 10.1016/j.physa.2019.122541
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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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