Graphs and Hermitian matrices: exact interlacing

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We prove conditions for equality between the extreme eigenvalues of a matrix and its quotient. In particular, we give a lower bound on the largest singular value of a matrix and generalize a result of Finck and Grohmann about the largest eigenvalue of a graph.

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Combinatorics, Commutative Algebra, 05C50

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http://salesiana.dossiersoluciones.com/handle/123456789/116590

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609572
 http://arxiv.org/abs/math/0609572

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arXiv