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http://hdl.handle.net/1893/18501| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Spectral upper bounds for the order of a k-regular induced subgraph |
| Author(s): | Cardoso, Domingos M Rowlinson, Peter |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | Graph Main eigenvalue Independence number Clique number |
| Issue Date: | Oct-2010 |
| Date Deposited: | 30-Jan-2014 |
| Citation: | Cardoso DM & Rowlinson P (2010) Spectral upper bounds for the order of a k-regular induced subgraph. Linear Algebra and Its Applications, 433 (5), pp. 1031-1037. https://doi.org/10.1016/j.laa.2010.04.029 |
| Abstract: | Let G be a simple graph with least eigenvalue λ and let S be a set of vertices in G which induce a subgraph with mean degree k. We use a quadratic programming technique in conjunction with the main angles of G to establish an upper bound of the form |S|⩽inf{(k+t)qG(t):t>-λ} where qG is a rational function determined by the spectra of G and its complement. In the case k=0 we obtain improved bounds for the independence number of various benchmark graphs. |
| DOI Link: | 10.1016/j.laa.2010.04.029 |
| Rights: | Published in Linear Algebra and Its Applications by Elsevier; Elsevier believes that individual authors should be able to distribute their accepted author manuscripts for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. The Elsevier Policy is as follows: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. An "accepted author manuscript" is the author’s version of the manuscript of an article that has been accepted for publication and which may include any author-incorporated changes suggested through the processes of submission processing, peer review, and editor-author communications. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| SpectralBoundsVer20.pdf | Fulltext - Accepted Version | 277.17 kB | Adobe PDF | View/Open |
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