Ollivier Ricci-flow on weighted graphs

DOI10.1353/ajm.2024.a944362MaRDI QIDQ6652943

Shuliang Bai, S.-T. Yau, Zhiyu Wang, Yong Lin, Linyuan Lu

Publication date: 13 December 2024

Published in: American Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted graphsRicci flowOllivier-Lin-Lu-Yau Ricci curvature

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Ricci flows (53E20)

Cites Work

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• Ricci curvature of graphs
• Ricci curvature of Markov chains on metric spaces
• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature
• On the sum of Ricci-curvatures for weighted graphs
• Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds
• Ricci curvature of metric spaces
• Manifolds with 1/4-pinched curvature are space forms
• Ollivier--Ricci Idleness Functions of Graphs

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