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 (Contributor), Lee, James R. (Author), Price, Gregory N. (Contributor), Teng, Shang-Hua (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Science + Business Media B.V., 2012-06-01T18:25:24Z.
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