A piecewise-linear Ricci flow with edge-removal surgeries is shown to make each connected component of a weighted graph achieve constant Ricci curvature, and is applied to community detection.
Forman, Bochner’s method for cell complexes and combinatorial Ricci curvature, Discrete Comput
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Piecewise-linear Ricci curvature flows on weighted graphs
A piecewise-linear Ricci flow with edge-removal surgeries is shown to make each connected component of a weighted graph achieve constant Ricci curvature, and is applied to community detection.