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Eigenvalues of Graphs and Sobolev Inequalities

Published online by Cambridge University Press:  12 September 2008

F. R. K. Chung  and
S.-T. Yau
F. R. K. Chung
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104 E-mail: chung@math.upenn.edu
S.-T. Yau
Affiliation:
Harvard University, Cambridge, Massachusetts 02138
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Abstract

We derive bounds for eigenvalues of the Laplacian of graphs using discrete versions of the Sobolev inequalities and heat kernel estimates.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 4 , Issue 1 , March 1995 , pp. 11 - 25
Copyright
Copyright © Cambridge University Press 1995

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