Elsevier, Linear Algebra and its Applications, 7(438), p. 2861-2879, 2013
DOI: 10.1016/j.laa.2012.11.032
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For a graph G, we here investigate its signless Laplacian matrix Q(G)Q(G) and the corresponding Q-eigenvalues. By considering the relation between the Q-spectrum and the circumference of G, we characterize all connected graphs with exactly three Q-eigenvalues at least two.