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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...
On the emergence of critical behavior in evolving financial networks
critical behavior evolving financial networks
2010/10/21
We introduce a simple model for addressing the controversy in the study of financial systems, sometimes taken as brownian-like processes and other as critical systems with fluctuations of arbitrary m...
Adaptive financial networks with static and dynamic thresholds
Adaptive financial networks static and dynamic thresholds
2010/10/18
Based on the daily data of American and Chinese stock markets, the dynamic behavior of a financial network with static and dynamic thresholds is investigated. Compared with the static threshold, the ...
Sequential optimizing investing strategy with neural networks
Sequential investing strategy with neural networks
2010/10/18
In this paper we propose an investing strategy based on neural network models combined with ideas from game-theoretic probability of Shafer and Vovk. Our proposed strategy uses parameter values of a ...
The Structure and Growth of Weighted Networks
weighted networks analysis proportionate growth preferential attachment international trade
2010/11/1
We develop a simple theoretical framework for the evolution of weighted networks that is consistent with a number of stylized features of real-world data. In our framework, the Barab´asi-Albert ...
Networks of Economic Market Interdependence and Systemic Risk
Economic Market Systemic Risk
2010/12/13
The dynamic network of relationships among corporations underlies cascading economic failures including the current economic crisis, and can be inferred from correlations in market value fluctuations....