Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416621 | Linear Algebra and its Applications | 2013 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Milan Pokorný, Pavel HÃc, Dragan StevanoviÄ,