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http://hdl.handle.net/1893/18451| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Star complements and exceptional graphs |
| Author(s): | Cvetkovic, Dragos Rowlinson, Peter Simic, Slobodan K |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | Graph Eigenvalue Star complement |
| Issue Date: | May-2007 |
| Date Deposited: | 28-Jan-2014 |
| Citation: | Cvetkovic D, Rowlinson P & Simic SK (2007) Star complements and exceptional graphs. Linear Algebra and Its Applications, 423 (1), pp. 146-154. https://doi.org/10.1016/j.laa.2007.01.008 |
| Abstract: | Let G be a finite graph of order n with an eigenvalue ? of multiplicity k. (Thus the ?-eigenspace of a (0,1)-adjacency matrix of G has dimension k.) A star complement for ? in G is an induced subgraph G-X of G such that |X|=k and G-X does not have ? as an eigenvalue. An exceptional graph is a connected graph, other than a generalized line graph, whose eigenvalues lie in [-2,?). We establish some properties of star complements, and of eigenvectors, of exceptional graphs with least eigenvalue -2. |
| DOI Link: | 10.1016/j.laa.2007.01.008 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Star Complements Open Archive.pdf | Fulltext - Published Version | 150.59 kB | Adobe PDF | View/Open |
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