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Improved lower bounds on the rigidity of Hadamard matrices

โœ Scribed by B. S. Kashin; A. A. Razborov


Publisher
SP MAIK Nauka/Interperiodica
Year
1998
Tongue
English
Weight
323 KB
Volume
63
Category
Article
ISSN
0001-4346

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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.