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cs.DM2020★ 19 cited
Edge-based analysis of networks: Curvatures of graphs and hypergraphs
Marzieh Eidi, Amirhossein Farzam, Wilmer Leal +2
The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergr…
cs.DM2019
Ollivier Ricci Curvature of Directed Hypergraphs
Marzieh Eidi, Jürgen Jost
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…