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The smallest eigenvalue of the signless Laplacian
Authors:Leonardo Silva de Lima  Carla Silva Oliveira
Affiliation:a CEFET, Rio de Janeiro, Brazil
b ENCE, Rio de Janeiro, Brazil
c Federal University of Rio de Janeiro, Brazil
d Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, United States
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.
Keywords:05C50   05C35
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