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Characterizing complex networks with Forman-Ricci curvature and associated geometric flows

Characterizing complex networks with Forman-Ricci curvature and associated geometric flows

We introduce Forman-Ricci curvature and its corresponding flow as characteristics for complex networks attempting to extend the common approach of node-based network analysis by edge-based characteristics. Following a theoretical introduction and mathematical motivation, we apply the proposed network-analytic methods to static and dynamic complex networks and compare the results with …