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Estimates for lower order eigenvalues of quadratic polynomials of the Laplacian

โœ Scribed by Bingqing Ma, Jing Zhang


Book ID
111670897
Publisher
Springer
Year
2012
Tongue
English
Weight
206 KB
Volume
98
Category
Article
ISSN
0003-889X

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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.