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Spectral analysis of Chinese language: Co-occurrence networks from four literary genres

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  • Liang, Wei
  • Chen, Guanrong

Abstract

The eigenvalues and eigenvectors of the adjacency matrix of a network contain essential information about its topology. For each of the Chinese language co-occurrence networks constructed from four literary genres, i.e., essay, popular science article, news report, and novel, it is found that the largest eigenvalue depends on the network size N, the number of edges, the average shortest path length, and the clustering coefficient. Moreover, it is found that their node-degree distributions all follow a power-law. The number of different eigenvalues, Nλ, is found numerically to increase in the manner of Nλ∝logN for novel and Nλ∝N for the other three literary genres. An “M” shape or a triangle-like distribution appears in their spectral densities. The eigenvector corresponding to the largest eigenvalue is mostly localized to a node with the largest degree. For the above observed phenomena, mathematical analysis is provided with interpretation from a linguistic perspective.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:49-56
    DOI: 10.1016/j.physa.2015.12.121
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    References listed on IDEAS

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    1. Zhou, Shuigeng & Hu, Guobiao & Zhang, Zhongzhi & Guan, Jihong, 2008. "An empirical study of Chinese language networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 3039-3047.
    2. 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.
    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.
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    Cited by:

    1. Liang, Wei, 2017. "Spectra of English evolving word co-occurrence networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 802-808.
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    3. 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.

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