Article ID Journal Published Year Pages File Type
6416621 Linear Algebra and its Applications 2013 9 Pages PDF
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
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