Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2010 | 10.3390/sym2031710 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
complexity,networks,symmetry breaking,World Trade Web | Journal | 2 |
Issue | ISSN | Citations |
3 | 2073-8994 | 3 |
PageRank | References | Authors |
1.33 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Franco Ruzzenenti | 1 | 38 | 5.36 |
Diego Garlaschelli | 2 | 90 | 18.49 |
Riccardo Basosi | 3 | 18 | 3.67 |