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math.AP2026
Core detection via Ricci curvature flows on weighted graphs
Juan Zhao, Jicheng Ma, Yunyan Yang +1
Graph Ricci curvature is crucial as it geometrically quantifies network structure. It pinpoints bottlenecks via negative curvature, identifies cohesive communities with positive cu…
math.AP2025
A modified Ricci flow on arbitrary weighted graph
Jicheng Ma, Yunyan Yang
In this paper, we propose a modified Ricci flow, as well as a quasi-normalized Ricci flow, on arbitrary weighted graph. Each of these two flows has a unique global solution. In par…
math.AP2025
Piecewise-linear Ricci curvature flows on weighted graphs
Jicheng Ma, Yunyan Yang
Community detection is an important problem in graph neural networks. Recently, algorithms based on Ricci curvature flows have gained significant attention. It was suggested by Oll…