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Differences Between Normal And Shuffled Texts: Structural Properties Of Weighted Networks

Author

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  • A. P. MASUCCI

    (Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK)

  • G. J. RODGERS

    (Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK)

Abstract

In this paper we deal with the structural properties of weighted networks. Starting from an empirical analysis of a linguistic network, we analyze the differences between the statistical properties of a real and a shuffled network. We show that the scale-free degree distribution and the scale-free weight distribution are induced by the scale-free strength distribution, that is Zipf's law. We test the result on a scientific collaboration network, that is a social network, and we define a measure – the vertex selectivity – that can distinguish a real network from a shuffled network. We prove, via anad hocstochastic growing network with second order correlations, that this measure can effectively capture the correlations within the topology of the network.

Suggested Citation

  • A. P. Masucci & G. J. Rodgers, 2009. "Differences Between Normal And Shuffled Texts: Structural Properties Of Weighted Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 113-129.
    • Handle: RePEc:wsi:acsxxx:v:12:y:2009:i:01:n:s0219525909002039
    DOI: 10.1142/S0219525909002039
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    Citations

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    Cited by:

    1. Samuel Zanferdini Oliva & Livia Oliveira-Ciabati & Denise Gazotto Dezembro & Mário Sérgio Adolfi Júnior & Maísa Carvalho Silva & Hugo Cesar Pessotti & Juliana Tarossi Pollettini, 2021. "Text structuring methods based on complex network: a systematic review," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(2), pages 1471-1493, February.
    2. Woon Peng Goh & Kang-Kwong Luke & Siew Ann Cheong, 2018. "Functional shortcuts in language co-occurrence networks," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-18, September.

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