| Authors: | Pokorný, Milan Híc, Pavel Stevanović, Dragan |
Title: | Remarks on Q-integral complete multipartite graphs | Journal: | Linear Algebra and Its Applications | Volume: | 439 | Issue: | 7 | First page: | 2029 | Last page: | 2037 | Issue Date: | 1-Oct-2013 | Rank: | M22 | ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2013.05.031 | Abstract: | A graph is Q-integral if the spectrum of its signless Laplacian matrix consists entirely of integers. In their study of Q-integral complete multipartite graphs, [Zhao et al., Q-integral complete r-partite graphs, Linear Algebra Appl. 438 (2013) 1067-1077] posed two questions on the existence of such graphs. We resolve these questions and present some further results characterizing particular classes of Q-integral complete multipartite graphs. |
Keywords: | Complete multipartite graphs | Integral graphs | Seidel spectrum | Signless Laplacian spectrum | Publisher: | Elsevier | Project: | Slovenian Agency for Research, projects P1-0285 and J1-4021 Slovak-Serbian bilateral project 680-00-140/2012-09/15 |
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