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New bounds for the minimum eigenvalue of the fan product of twoM-matrices

โœ Scribed by Guanghui Cheng


Book ID
126354018
Publisher
Springer
Year
2014
Tongue
English
Weight
99 KB
Volume
64
Category
Article
ISSN
0011-4642

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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.