The smallest eigenvalue of the signless laplacian

Authors

Leonardo Silva De Lima, CEFETFollow
Carla Silva Oliveira, ENCE
Nair Maria Maia De Abreu, Universidade Federal do Rio de JaneiroFollow
Vladimir Nikiforov, University of Memphis

Abstract

Recently the signless Laplacian matrix of graphs has been intensively investigated. While there are many results about the largest eigenvalue of the signless Laplacian, the properties of its smallest eigenvalue are less well studied. The present paper surveys the known results and presents some new ones about the smallest eigenvalue of the signless Laplacian. © 2011 Elsevier Inc. All rights reserved.

Publication Title

Linear Algebra and Its Applications

Recommended Citation

De Lima, L., Oliveira, C., De Abreu, N., & Nikiforov, V. (2011). The smallest eigenvalue of the signless laplacian. Linear Algebra and Its Applications, 435 (10), 2570-2584. https://doi.org/10.1016/j.laa.2011.03.059