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http://hdl.handle.net/1893/26061| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Eigenvalue multiplicity in quartic graphs |
| Author(s): | Capaverde, Juliane Rowlinson, Peter |
| Contact Email: | p.rowlinson@stirling.ac.uk |
| Keywords: | Eigenvalue Quartic graph Star complement |
| Issue Date: | 15-Dec-2017 |
| Date Deposited: | 30-Oct-2017 |
| Citation: | Capaverde J & Rowlinson P (2017) Eigenvalue multiplicity in quartic graphs. Linear Algebra and Its Applications, 535, pp. 160-170. https://doi.org/10.1016/j.laa.2017.08.023 |
| Abstract: | Let G be a connected quartic graph of order n with μ as an eigenvalue of multiplicity k. We show that if μ ∉ {−1,0} then k ≤ (2n − 5)/3 when n ≤ 22, and k ≤ (3n − 1)/5 when n ≥ 23. If μ ∈ {−1,0} then k ≤ (2n + 2)/3, with equality if and only if G = K5 (with μ = −1) or G = K4,4 (with μ = 0). |
| DOI Link: | 10.1016/j.laa.2017.08.023 |
| Rights: | This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. Accepted refereed manuscript of: Capaverde J & Rowlinson P (2017) Eigenvalue multiplicity in quartic graphs, Linear Algebra and Its Applications, 535, pp. 160-170. DOI: 10.1016/j.laa.2017.08.023 © 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Licence URL(s): | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Quartic8.pdf | Fulltext - Accepted Version | 494.31 kB | Adobe PDF | View/Open |
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