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.
Otherwisex∈N(i)andy∈N(j), so(x, y)must belong to exactly one of the three mutually exclusive types:Ui−Uj (inE UU),U−C(inE △), orC−C(inE CC)
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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.