Title of article
Graphs and Hermitian matrices: Exact interlacing
Author/Authors
Béla Bollob?s، نويسنده , , Vladimir Nikiforov، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
6
From page
4816
To page
4821
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.
Keywords
Tight interlacing , Extreme eigenvalues , Singular values , Nonnegative matrix , Graph Laplacian
Journal title
Discrete Mathematics
Serial Year
2008
Journal title
Discrete Mathematics
Record number
947099
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