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Bounds and conjectures for the signless Laplacian index of graphs

✍ Scribed by Pierre Hansen; Claire Lucas


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
267 KB
Volume
432
Category
Article
ISSN
0024-3795

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We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected nonbipartite graph with a prescribed number of vertices is attained solely in the unicyclic graph obtained from a triangle by attaching a path at one of its endvertices.