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cs.SI2024
On the Relation between Graph Ricci Curvature and Community Structure
Sathyanarayanan Rengaswami, Theodora Bourni, Vasileios Maroulas
The connection between curvature and topology is a very well-studied theme in the subject of differential geometry. By suitably defining curvature on networks, the study of this th…
math.DG2024
Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains
Theodora Bourni, Nathan Burns, Spencer Catron
We classify convex ancient curve shortening flows with free boundary on general bounded convex domains.