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LOWER BOUND ESTIMATES OF THE FIRST EIGENVALUE FOR THE f-LAPLACIAN AND THEIR APPLICATIONS

โœ Scribed by Chu, Y.; Hu, Z.


Book ID
121470044
Publisher
Oxford University Press
Year
2012
Tongue
English
Weight
181 KB
Volume
64
Category
Article
ISSN
0033-5606

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Lower bounds for the eigenvalues of Lapl
โœ Abraham Berman; Xiao-Dong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 70 KB

We give a lower bound for the second smallest eigenvalue of Laplacian matrices in terms of the isoperimetric number of weighted graphs. This is used to obtain an upper bound for the real parts of the nonmaximal eigenvalues of irreducible nonnegative matrices.