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http://hdl.handle.net/1893/25320| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | More on graphs with just three distinct eigenvalues |
| Author(s): | Rowlinson, Peter |
| Issue Date: | 2017 |
| Date Deposited: | 8-May-2017 |
| Citation: | Rowlinson P (2017) More on graphs with just three distinct eigenvalues. Applicable Analysis and Discrete Mathematics, 11, pp. 74-80. https://doi.org/10.2298/AADM161111033R |
| Abstract: | Let G be a connected non-regular non-bipartite graph whose adjacency matrix has spectrum ρ, µ(k) , λ(l) , where k, l ∈ IN and ρ > µ > λ. We show that if µ is non-main then δ(G) ≥ 1 + µ − λµ, with equality if and only if G is of one of three types, derived from a strongly regular graph, a symmetric design or a quasi-symmetric design (with appropriate parameters in each case). |
| DOI Link: | 10.2298/AADM161111033R |
| Rights: | This article is licensed under the Creative Commons Attribution License. Proper attribution of authorship and correct citation details should be given. |
| Licence URL(s): | http://creativecommons.org/licenses/by/4.0/ |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| AADM-Vol11-No1-74-80.pdf | Fulltext - Published Version | 287.95 kB | Adobe PDF | View/Open |
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