Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
arXiv:1009.4489 · doi:10.3390/sym2031710
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.
arXiv commentFinal accepted version
References in corpus (17)
- Topology of the World Trade Web
- Structure and Evolution of the World Trade Network
- Patterns of link reciprocity in directed networks
- Fitness-dependent topological properties of the World Trade Web
- Analytical maximum-likelihood method to detect patterns in real networks
- Maximum likelihood: extracting unbiased information from complex networks
- On Automorphism Groups of Networks
- Generalized percolation in random directed networks
- Interplay between topology and dynamics in the World Trade Web
- Spectral Characteristics of Network Redundancy
- Reciprocity of Networks with Degree Correlations and Arbitrary Degree Sequences
- Multi-species grandcanonical models for networks with reciprocity
- Complex Networks and Symmetry I: A Review
- Network Quotients: Structural Skeletons of Complex Systems
- Influence of reciprocal arcs on the degree distribution and degree correlations
- Schroedinger-like PageRank equation and localization in the WWW
- Phase transition in the globalization of trade