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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