A global Poincaré inequality on graphs via a conical curvature-dimension condition
From MaRDI portal
Publication:1635267
DOI10.1515/agms-2018-0002zbMath1388.05183arXiv1605.05432OpenAlexW2790313014MaRDI QIDQ1635267
Zachary McGuirk, Sajjad Lakzian
Publication date: 6 June 2018
Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.05432
Global Riemannian geometry, including pinching (53C20) Graph theory (05C99) Polyhedral manifolds (52B70)
Related Items
Discrete versions of the Li-Yau gradient estimate ⋮ Bakry–Émery Curvature Functions on Graphs ⋮ Bakry-Émery Ricci curvature bounds for doubly warped products of weighted spaces ⋮ Bakry-Émery curvature on graphs as an eigenvalue problem
Cites Work
- Unnamed Item
- Unnamed Item
- General Cheeger inequalities for \(p\)-Laplacians on graphs
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Remarks on curvature dimension conditions on graphs
- Ricci curvature of graphs
- \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
- A curvature-dimension condition for metric measure spaces
- Weak curvature conditions and functional inequalities
- Cheeger inequalities for unbounded graph Laplacians
- Ollivier's Ricci curvature, local clustering and curvature-dimension inequalities on graphs
- Ricci curvature and eigenvalue estimate on locally finite graphs
- Computation of optimal transport on discrete metric measure spaces
- Harnack inequalities for graphs with non-negative Ricci curvature
- Cones over metric measure spaces and the maximal diameter theorem
- Ricci curvature for metric-measure spaces via optimal transport
- On the geometry of metric measure spaces. I
- Discrete Curvature and Abelian Groups
- Curvature aspects of graphs
- An Elementary Construction of Constant-Degree Expanders
- Curvature and Higher Order Buser Inequalities for the Graph Connection Laplacian
- Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
- Bakry–Émery Curvature Functions on Graphs
This page was built for publication: A global Poincaré inequality on graphs via a conical curvature-dimension condition
