Higher eigenvalues of graphs

We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenvalue of the Laplacian on a bounded-degree planar graph is O(k/n). This bound is asymptotically tight for every k, as it is ea...

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Bibliographic Details
Main Authors: Price, Gregory N. (Contributor), Lee, James R. (Author), Teng, Shang-Hua (Author), Kelner, Jonathan Adam (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers, 2010-10-21T14:32:29Z.
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