IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v450y2016icp49-56.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115011589
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2015.12.121?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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 modern Chinese poems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 284-293.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.
    2. Garg, Muskan & Kumar, Mukesh, 2018. "The structure of word co-occurrence network for microblogs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 698-720.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.
    2. 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.
    3. Garg, Muskan & Kumar, Mukesh, 2018. "The structure of word co-occurrence network for microblogs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 698-720.
    4. 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.
    5. Zhong, Xiang & Liu, Jiajun & Gao, Yong & Wu, Lun, 2017. "Analysis of co-occurrence toponyms in web pages based on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 462-475.
    6. Yang, Yi & Song, Yue, 2023. "Resistance-distance betweenness: Definition, properties, and application in complex linguistic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    7. 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).
    8. 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.
    9. Wang, Junjie & Zhou, Shuigeng & Guan, Jihong, 2011. "Characteristics of real futures trading networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 398-409.
    10. Gao, Yuyang & Liang, Wei & Shi, Yuming & Huang, Qiuling, 2014. "Comparison of directed and weighted co-occurrence networks of six languages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 579-589.
    11. 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.
    12. Sheng, Long & Li, Chunguang, 2009. "English and Chinese languages as weighted complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2561-2570.
    13. Huang, Wei & Yang, Kailin & Ma, Jiming & Xu, Yaowu & Guo, Xinlei & Wang, Jue, 2018. "A new setting criterion of tailrace surge chambers for pumped-storage power plants," Renewable Energy, Elsevier, vol. 116(PA), pages 194-201.
    14. Junjie Wang & Shuigeng Zhou & Jihong Guan, 2010. "Characteristics of Real Futures Trading Networks," Papers 1004.4402, arXiv.org, revised Feb 2011.
    15. Ghosh, Dipak & Chakraborty, Sayantan & Samanta, Shukla, 2019. "Study of translational effect in Tagore’s Gitanjali using Chaos based Multifractal analysis technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1343-1354.
    16. 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.
    17. Li, Jianyu & Zhou, Jie & Luo, Xiaoyue & Yang, Zhanxin, 2012. "Chinese lexical networks: The structure, function and formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5254-5263.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:49-56. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.