Title
Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
Abstract
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 Ruzzenenti1385.36
Diego Garlaschelli29018.49
Riccardo Basosi3183.67