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arXiv · 1907.04727

Ollivier Ricci Curvature of Directed Hypergraphs

Marzieh Eidi·Jürgen Jost
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Abstract

We develop a definition of Ricci curvature on directed hypergraphs and explore the consequences of that definition. The definition generalizes Ollivier's definition for graphs. It involves a carefully designed optimal transport problem between sets of vertices.

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Marzieh Eidi, Jürgen Jost. 2019-07-10. Ollivier Ricci Curvature of Directed Hypergraphs. https://arxiv.org/abs/1907.04727

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