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The least eigenvalues of the signless Laplacian of non-bipartite graphs with pendant vertices

✍ Scribed by Fan, Yi-Zheng; Wang, Yi; Guo, Huan


Book ID
118737696
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
423 KB
Volume
313
Category
Article
ISSN
0012-365X

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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.