Ollivier Ricci Curvature of Directed Hypergraphs

Published 10 Jul 2019 in cs.DM and math.CO | (1907.04727v1)

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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