Lower bounds for the eigenvalues of Lapl
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Abraham Berman; Xiao-Dong Zhang
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Article
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2000
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Elsevier Science
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English
โ 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.