| Authors: | Cardoso, Domingos Cvetković, Dragoš Rowlinson, Peter Simić, Slobodan |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph | Journal: | Linear Algebra and Its Applications | Volume: | 429 | Issue: | 11-12 | First page: | 2770 | Last page: | 2780 | Issue Date: | 1-Dec-2008 | Rank: | M22 | ISSN: | 0024-3795 | DOI: | 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. |
Keywords: | Graph spectra | Graph theory | Least eigenvalue | Line graph | Signless Laplacian | Publisher: | Elsevier | Project: | Serbian Ministry for Science, Grant 144015G |
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