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Thesaurus as a complex network

Author

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  • de Jesus Holanda, Adriano
  • Torres Pisa, Ivan
  • Kinouchi, Osame
  • Souto Martinez, Alexandre
  • Eduardo Seron Ruiz, Evandro

Abstract

A thesaurus is one, out of many, possible representations of term (or word) connectivity. The terms of a thesaurus are seen as the nodes and their relationship as the links of a directed graph. The directionality of the links retains all the thesaurus information and allows the measurement of several quantities. This has lead to a new term classification according to the characteristics of the nodes, for example, nodes with no links in, no links out, etc. Using an electronic available thesaurus we have obtained the incoming and outgoing link distributions. While the incoming link distribution follows a stretched exponential function, the lower bound for the outgoing link distribution has the same envelope of the scientific paper citation distribution proposed by Tsallis and Albuquerque (Eur. Phys. J. B 13 (2000) 777). However, a better fit is obtained by simpler function which is the solution of Ricatti's differential equation. We conjecture that this differential equation is the continuous limit of a stochastic growth model of the thesaurus network. We also propose a new manner to arrange a thesaurus using the “inversion method”.

Suggested Citation

  • de Jesus Holanda, Adriano & Torres Pisa, Ivan & Kinouchi, Osame & Souto Martinez, Alexandre & Eduardo Seron Ruiz, Evandro, 2004. "Thesaurus as a complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 530-536.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:3:p:530-536
    DOI: 10.1016/j.physa.2004.06.025
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    References listed on IDEAS

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    1. Kinouchi, O & Martinez, A.S & Lima, G.F & Lourenço, G.M & Risau-Gusman, S, 2002. "Deterministic walks in random networks: an application to thesaurus graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 665-676.
    2. H. Eugene Stanley & Sergey V. Buldyrev, 2001. "The salesman and the tourist," Nature, Nature, vol. 413(6854), pages 373-374, September.
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    Citations

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    Cited by:

    1. Ke, Xiaohua & Zeng, Yongqiang & Ma, Qinghua & Zhu, Lin, 2014. "Complex dynamics of text analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 307-314.
    2. Antiqueira, L. & Nunes, M.G.V. & Oliveira Jr., O.N. & F. Costa, L. da, 2007. "Strong correlations between text quality and complex networks features," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 811-820.
    3. Campiteli, M.G. & Holanda, A.J. & Soares, L.D.H. & Soles, P.R.C. & Kinouchi, O., 2013. "Lobby index as a network centrality measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5511-5515.
    4. 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.
    5. Li, Jianyu & Zhou, Jie, 2007. "Chinese character structure analysis based on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 629-638.
    6. Martinez, Alexandre Souto & González, Rodrigo Silva & Terçariol, César Augusto Sangaletti, 2008. "Continuous growth models in terms of generalized logarithm and exponential functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5679-5687.
    7. Alexandre Souto Martinez & Rodrigo Silva Gonzalez & Cesar Augusto Sangaletti Tercariol, 2008. "Continuous growth models in terms of generalized logarithm and exponential functions," Papers 0803.2635, arXiv.org, revised May 2008.

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