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http://hdl.handle.net/1893/18490| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Graphs for which the least eigenvalue is minimal, II |
| Author(s): | Bell, Francis K Cvetkovic, Dragos Rowlinson, Peter Simic, Slobodan K |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | Bipartite graph Graph spectrum Largest eigenvalue Least eigenvalue |
| Issue Date: | Oct-2008 |
| Date Deposited: | 30-Jan-2014 |
| Citation: | Bell FK, Cvetkovic D, Rowlinson P & Simic SK (2008) Graphs for which the least eigenvalue is minimal, II. Linear Algebra and Its Applications, 429 (8-9), pp. 2168-2179. https://doi.org/10.1016/j.laa.2008.06.018 |
| Abstract: | We continue our investigation of graphs G for which the least eigenvalue ?(G) is minimal among the connected graphs of prescribed order and size. We provide structural details of the bipartite graphs that arise, and study the behaviour of ?(G) as the size increases while the order remains constant. The non-bipartite graphs that arise were investigated in a previous paper [F.K. Bell, D. Cvetkovic', P. Rowlinson, S.K. Simic', Graphs for which the least eigenvalue is minimal, I, Linear Algebra Appl. (2008), doi: 10.1016/j.laa.2008.02.032]; here we distinguish the cases of bipartite and non-bipartite graphs in terms of size. Erratum is published in: Richard A Brualdi, 'From the Editor-in-Chief', Linear Algebra Applications, 432(1) pp.1-6, 01/2010 |
| DOI Link: | 10.1016/j.laa.2008.06.018 |
| Rights: | Made available under an Elsevier Open Archive user license: Articles published under an Elsevier user license are protected by copyright and may be used for non-commercial purposes. Users may access, download, copy, display, redistribute, adapt, translate, text mine and data mine the articles provided that users: •Cite the article using an appropriate bibliographic citation (i.e. author(s), journal, article title, volume, issue, page numbers, DOI and the link to the definitive published version on ScienceDirect) •Use the article for non- commercial purposes •Maintain the integrity of the article •Retain copyright notices and links to these terms and conditions so it is clear to other users what can and cannot be done with the article •Ensure that, for any content in the article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party This is a non commercial license where the use of published articles for commercial purposes is prohibited. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Least-II-errataVer4.pdf | Fulltext - Accepted Version | 77.98 kB | Adobe PDF | View/Open |
| least eigenvalue is minimal II Open Archive.pdf | Fulltext - Published Version | 243.65 kB | Adobe PDF | View/Open |
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