On the second largest eigenvalue of the signless Laplacian

Authors

Leonardo Silva De Lima, Federal Center of Technological EducationFollow
Vladimir Nikiforov, University of Memphis

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

Recommended Citation

De Lima, L., & Nikiforov, V. (2013). On the second largest eigenvalue of the signless Laplacian. Linear Algebra and Its Applications, 438 (3), 1215-1222. https://doi.org/10.1016/j.laa.2012.07.052