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Does network complexity help organize Babel’s library?

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  • Cárdenas, Juan Pablo
  • González, Iván
  • Vidal, Gerardo
  • Fuentes, Miguel Angel

Abstract

In this work we show that global topological properties of co-occurrent word networks constructed from texts, seem to be the fingerprint of meaningful sentences. We observe that many statistical properties of these networks depend on the frequency of words, however, others seem to be strictly determined by the grammar. Our results suggest that seems to be a lower bound of sense that depends on the correlation between mean word connectivity and word connectivity correlation. This property, in addition to being only present in meaningful texts, and absent in, until now, not decoded texts such as the Voynich manuscript, would also be exclusive for natural languages, allowing us to discriminate between these and formal texts.

Suggested Citation

  • Cárdenas, Juan Pablo & González, Iván & Vidal, Gerardo & Fuentes, Miguel Angel, 2016. "Does network complexity help organize Babel’s library?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 188-198.
    • Handle: RePEc:eee:phsmap:v:447:y:2016:i:c:p:188-198
    DOI: 10.1016/j.physa.2015.12.031
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
    2. Cárdenas, J.P. & Mouronte, M.L. & Moyano, L.G. & Vargas, M.L. & Benito, R.M., 2010. "On the robustness of Spanish telecommunication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4209-4216.
    3. Cárdenas, J.P. & Mouronte, M.L. & Benito, R.M. & Losada, J.C., 2010. "Compatibility as underlying mechanism behind the evolution of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1789-1798.
    4. Marcelo A. Montemurro & Damián H. Zanette, 2010. "Towards The Quantification Of The Semantic Information Encoded In Written Language," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 135-153.
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