Title

On the second largest eigenvalue of the signless Laplacian

Abstract

Let G be a graph of order n, and let q1(G)≥⋯≥q n(G) be the eigenvalues of the Q-matrix of G, also known as the signless Laplacian of G. We give a necessary and sufficient condition for the equality qk(G)=n-2, where 1

Publication Title

Linear Algebra and Its Applications

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