| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4650259 | Discrete Mathematics | 2008 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Béla Bollobás, Vladimir Nikiforov,