Please use this identifier to cite or link to this item:
https://hdl.handle.net/1822/36662| Title: | Eigenvectors of isospectral graph transformations |
| Author(s): | Duarte, P. Torres, M. J. |
| Keywords: | Isospectral graph reduction Eigenvector |
| Issue date: | 2015 |
| Publisher: | Elsevier |
| Journal: | Linear Algebra and its Applications |
| Abstract(s): | L.A. Bunimovich and B.Z. Webb developed a theory for isospectral graph reduction. We make a simple observation regarding the relation between eigenvectors of the original graph and its reduction, that sheds new light on this theory. As an application we propose an updating algorithm for the maximal eigenvector of the Markov matrix associated to a large sparse dynamical network. |
| Type: | Article |
| URI: | https://hdl.handle.net/1822/36662 |
| DOI: | 10.1016/j.laa.2015.01.038 |
| ISSN: | 0024-3795 |
| Publisher version: | The original publication is available at www.elsevier.com |
| Peer-Reviewed: | yes |
| Access: | Restricted access (UMinho) |
| Appears in Collections: |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| PDMJT_eigt.pdf Restricted access | 591,92 kB | Adobe PDF | View/Open |
