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Elsevier, Discrete Mathematics, 20(308), p. 4625-4634, 2008

DOI: 10.1016/j.disc.2007.08.055

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Q-integral graphs with edge-degrees at most five

Journal article published in 2008 by Slobodan K. Simic, Zoran Stanic ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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.