Title

Graphs and Hermitian matrices: Exact interlacing

Abstract

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. © 2007 Elsevier B.V. All rights reserved.

Publication Title

Discrete Mathematics

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