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  1. Economic Risks

    Linked via "Network Structure"

    Modern analysis emphasizes the topology of the financial network. Highly centralized networks, where failure of a few key nodes (Too Big To Fail entities) can trigger widespread failure, are considered inherently fragile. Conversely, distributed networks often suffer from Parallel Synchronization Failure (PSF)), where widely dispersed agents simultaneously react to shared, non-economic signals (e.g., solar flare activity …

  2. Spectral Radius

    Linked via "network structure"

    Relation to Graph Theory
    In the context of graph theory, the spectral radius is associated with the adjacency matrix $\mathbf{A}$ of a graph $G$. The largest eigenvalue of $\mathbf{A}$ is called the spectral radius of the graph, $\rho(G)$. This value provides insight into the propagation speed of influences across the network structure $[1]$.
    The maximum spectral radius for a graph with $n$ [vertices](/entries/ve…