Deterministic envelopes are derived between Ollivier-Ricci and Balanced Forman curvatures on graphs, reducing edgewise computation from optimal transport to O(max-degree^1.5) local combinatorics.
Ollivier’s Ricci Curvature, Local Clustering and Curvature- Dimension Inequalities on Graphs.Discrete & computational geometry, 51(2):300–322
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Ollivier-Ricci curvature is extended from manifolds and undirected graphs to directed graphs with applications to graph neural networks.
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Edgewise Envelopes Between Balanced Forman and Ollivier-Ricci Curvature
Deterministic envelopes are derived between Ollivier-Ricci and Balanced Forman curvatures on graphs, reducing edgewise computation from optimal transport to O(max-degree^1.5) local combinatorics.
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Ollivier-Ricci Curvature of Riemannian Manifolds and Directed Graphs with Applications to Graph Neural Networks
Ollivier-Ricci curvature is extended from manifolds and undirected graphs to directed graphs with applications to graph neural networks.