Authors: Simić, Slobodan 
Stanić, Zoran
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Q-integral graphs with edge-degrees at most five
Journal: Discrete Mathematics
Volume: 308
Issue: 20
First page: 4625
Last page: 4634
Issue Date: 28-Oct-2008
Rank: M23
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.08.055
Abstract: 
We consider the problem of determining the Q-integral graphs, i.e. the graphs with integral signless Laplacian spectrum. We find all such graphs with maximum edge-degree 4, and obtain only partial results for the next natural case, with maximum edge-degree 5.
Keywords: Edge-degree | Integral eigenvalues | Signless Laplacian spectrum
Publisher: Elsevier
Project: Serbian Ministry of Science, Projects 144015D and 144032D

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