Metric uniformization and spectral bounds for graphs

We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate 'Riemannian' metric to uniformize the geometry of the graph. In many interesting cases, the existence of such a metric is shown by examining the combinatoric...

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Bibliographic Details
Main Authors: Kelner, Jonathan Adam, Lee, James R., Price, Gregory N., Teng, Shang-Hua
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer Science + Business Media B.V. 2012
Online Access:http://hdl.handle.net/1721.1/70991
https://orcid.org/0000-0002-4257-4198