Cheeger inequalities for unbounded graph Laplacians
By Frank Bauer, Matthias Keller, Radoslaw K. Wojciechowski. 2012
67 citations recorded by the source corpus.
We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6a23680eaf38ce44ff1b2ad69c006ed2b45ecfb4
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory (2010, unknown): “Among these we mention [1,2,15–18,25,34].”
- Kazdan-Warner equation on infinite graphs (2017, background): “y related to each other. They all reveal some geometric information of a manifold (or a graph). By now, there is a vital interest in the study of these objects on finite or infinite graphs. See[1][2][4][5][8][9][16][20] for more related works. Generally, the Kazdan-Warner equation may not have a globa”