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http://hdl.handle.net/1893/18444| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Controllable graphs with least eigenvalue at least -2 |
| Author(s): | Cvetkovic, Dragos Rowlinson, Peter Stanic, Zoran Yoon, Myung-Gon |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | graph spectra control theory main eigenvalues bounded eigenvalues |
| Issue Date: | Oct-2011 |
| Date Deposited: | 28-Jan-2014 |
| Citation: | Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs with least eigenvalue at least -2. Applicable Analysis and Discrete Mathematics, 5 (2), pp. 165-175. https://doi.org/10.2298/AADM110909022C |
| Abstract: | Connected graphs whose eigenvalues are distinct and main are called controllable graphs in view of certain applications in control theory. We give some general characterizations of the controllable graphs whose least eigenvalue is bounded from below by - 2; in particular, we determine all the controllable exceptional graphs. We also investigate the controllable graphs whose second largest eigenvalue does not exceed 1. |
| DOI Link: | 10.2298/AADM110909022C |
| Rights: | Publisher is open-access. Open access publishing allows free access to and distribution of published articles where the author retains copyright of their work by employing a Creative Commons attribution licence. Proper attribution of authorship and correct citation details should be given. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Controllable Graphs with least eigenvalue.pdf | Fulltext - Published Version | 157.99 kB | Adobe PDF | View/Open |
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