Authors: | Petrović, Miroslav Aleksić, Tatjana Simić, Slobodan |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Further results on the least eigenvalue of connected graphs | Journal: | Linear Algebra and Its Applications | Volume: | 435 | Issue: | 9 | First page: | 2303 | Last page: | 2313 | Issue Date: | 1-Nov-2011 | Rank: | M22 | ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2011.04.030 | Abstract: | In this paper, we identify within connected graphs of order n and size n+k (with 0≤k≤4 and n≥k+5) the graphs whose least eigenvalue is minimal. It is also observed that the same graphs have the largest spectral spread if n is large enough. |
Keywords: | Spectral spread | The largest eigenvalue | The least eigenvalue | Publisher: | Elsevier | Project: | Graph theory and mathematical programming with applications in chemistry and computer science |
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