Some remarks on Laplacian eigenvalues of connected graphs

Some remarks on Laplacian eigenvalues of connected graphs Let G be a connected undirected graph with n vertices and m edges, and let μ1≥μ2≥…≥μn−1>μn=0 be Laplacian eigenvalues of adjacency matrix of G. In this paper a generalization of some inequalities for the Laplacian spreads LS(G)=μ1−μn−1, LR+(G)=μ1μn−1+μn−1μ1 and LR−(G)=μ1μn−1−μn−1μ1 is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Linear Algebra and its Applications Elsevier

Some remarks on Laplacian eigenvalues of connected graphs

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Publisher
Elsevier
Copyright
Copyright © 2016 Elsevier Inc.
ISSN
0024-3795
eISSN
1873-1856
D.O.I.
10.1016/j.laa.2016.03.046
Publisher site
See Article on Publisher Site

Abstract

Let G be a connected undirected graph with n vertices and m edges, and let μ1≥μ2≥…≥μn−1>μn=0 be Laplacian eigenvalues of adjacency matrix of G. In this paper a generalization of some inequalities for the Laplacian spreads LS(G)=μ1−μn−1, LR+(G)=μ1μn−1+μn−1μ1 and LR−(G)=μ1μn−1−μn−1μ1 is presented.

Journal

Linear Algebra and its ApplicationsElsevier

Published: Aug 15, 2016

References

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