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Exploring complex networks via topological embedding on surfaces
Complex Networks Maximal Embedded Graphs Triangulations Topological Froths Surface genus Hyperbolic networks
2011/7/20
We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of topological...
In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for pa...
Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
complexity networks symmetry breaking
2010/10/21
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 reciproc...
Backbone of complex networks of corporations: The flow of control
Backbone complex networks of corporations
2010/10/29
We present a methodology to extract the backbone of complex networks based on the
weight and direction of links, as well as on nontopological properties of nodes. We show how
the methodology can be ...