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http://hdl.handle.net/1893/21084| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | On bipartite graphs with complete bipartite star complements |
| Author(s): | Rowlinson, Peter |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | Bipartite graph Eigenvalue Star complement Symmetric design |
| Issue Date: | Oct-2014 |
| Date Deposited: | 8-Sep-2014 |
| Citation: | Rowlinson P (2014) On bipartite graphs with complete bipartite star complements. Linear Algebra and Its Applications, 458, pp. 149-160. https://doi.org/10.1016/j.laa.2014.06.011 |
| Abstract: | Let G be a bipartite graph with μ as an eigenvalue of multiplicity k>1k>1. We show that if G has Kr,sKr,s(1≤r≤s)(1≤r≤s) as a star complement for μ then k≤s-1k≤s-1; moreover if μ is non-main then k≤s-2k≤s-2 for large enough s . We provide examples of graphs in which various bounds on k or s are attained. We also describe the bipartite graphs with K1,sK1,s as a star complement for a non-main eigenvalue of multiplicity s-1>1s-1>1. |
| DOI Link: | 10.1016/j.laa.2014.06.011 |
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| Licence URL(s): | http://www.rioxx.net/licenses/under-embargo-all-rights-reserved |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Linear Algebra and its Applications 2014.pdf | Fulltext - Published Version | 329.79 kB | Adobe PDF | Under Embargo until 3000-01-01 Request a copy |
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