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Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade

  • Franco Ruzzenenti
  • Diego Garlaschelli
  • Riccardo Basosi
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    We exploit the symmetry concepts developed in the companion review of this article to introduce a stochastic version of link reversal symmetry, which leads to an improved understanding of the reciprocity of directed networks. We apply our formalism to the international trade network and show that a strong embedding in economic space determines particular symmetries of the network, while the observed evolution of reciprocity is consistent with a symmetry breaking taking place in production space. Our results show that networks can be strongly affected by symmetry-breaking phenomena occurring in embedding spaces, and that stochastic network symmetries can successfully suggest, or rule out, possible underlying mechanisms.

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    File URL: http://arxiv.org/pdf/1009.4489
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    Paper provided by arXiv.org in its series Papers with number 1009.4489.

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    Date of creation: Sep 2010
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    Publication status: Published in Symmetry 2, no. 3, pp. 1710-1744 (2010)
    Handle: RePEc:arx:papers:1009.4489
    Contact details of provider: Web page: http://arxiv.org/

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