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Q-integral graphs with edge-degrees at most five
Authors:Slobodan K. Simi?  Zoran Stani?
Affiliation:a Mathematical Institute SANU, 11 000 Belgrade, Serbia
b Faculty of Mathematics, University of Belgrade, 11 000 Belgrade, Serbia
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:05C50
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