Bakry–Émery Curvature Functions on Graphs

DOI10.4153/CJM-2018-015-4zbMath1430.05019arXiv1606.01496OpenAlexW3106068400MaRDI QIDQ5208712

Norbert Peyerimhoff, David Cushing, Shiping Liu

Publication date: 9 January 2020

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

Full work available at URL: https://arxiv.org/abs/1606.01496

zbMATH Keywords

Cayley graphCartesian productBakry-Emery curvaturecurvature-dimension inequality

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete geometry (52C99) Other special differential geometries (53A40)

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Cites Work

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• Spectral estimates for abelian Cayley graphs
• \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\)
• Discrete Curvature and Abelian Groups
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• Curvature and Higher Order Buser Inequalities for the Graph Connection Laplacian
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