On a lower bound for the Laplacian eigenvalues of a graph

If μm and dm denote, respectively, the m-th largest Laplacian eigenvalue and the m-th largest vertex degree of a graph, then μm⩾dm−m+2. This inequality was conjectured by Guo (Linear Multilinear Algebra 55:93–102, 2007) and proved by Brouwer and Haemers (Linear Algebra Appl 429:2131–2135, 2008). Bro...

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Bibliographic Details
Main Authors: Greaves, Gary Royden Watson, Munemasa, Akihiro, Peng, Anni
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/144996
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Institution: Nanyang Technological University
Language: English