Author

Eleanor P. Wiesler

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Preprint Aug 2026

Ollivier's Ricci Curvature on Complex-weighted Graphs

This work introduces a principled extension of Ollivier's Ricci curvature to complex-weighted graphs, which encompasses directed graphs as a special case and establishes fundamental theoretical properties of this new notion, including relations to the magnetic Laplacian and combinatorial upper and lower bounds that relate curvature to cycle structure in local neighborhoods.

Yu Tian, Eleanor P. Wiesler, Melanie Weber · 0 citations