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http://hdl.handle.net/1893/18452| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph |
| Author(s): | Cardoso, Domingos M Cvetkovic, Dragos Rowlinson, Peter Simic, Slobodan K |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | Graph theory Graph spectra Line graph Signless Laplacian Least eigenvalue |
| Issue Date: | Dec-2008 |
| Date Deposited: | 28-Jan-2014 |
| Citation: | Cardoso DM, Cvetkovic D, Rowlinson P & Simic SK (2008) A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph. Linear Algebra and Its Applications, 429 (11-12), pp. 2770-2780. https://doi.org/10.1016/j.laa.2008.05.017 |
| Abstract: | We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected non-bipartite graph with a prescribed number of vertices is attained solely in the unicyclic graph obtained from a triangle by attaching a path at one of its endvertices. |
| DOI Link: | 10.1016/j.laa.2008.05.017 |
| 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. |
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|---|---|---|---|---|
| A sharp lower Open Archive.pdf | Fulltext - Published Version | 149.21 kB | Adobe PDF | View/Open |
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