Note on an upper bound for sum of the Laplacian eigenvalues of a graph

DOI10.1016/j.laa.2017.12.006zbMath1377.05107OpenAlexW2775066924MaRDI QIDQ1690689

Xiaodan Chen, Yingmei Fan, Jing Jian Li

Publication date: 12 January 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.12.006

zbMATH Keywords

upper boundclique numbervertex covering numbersum of Laplacian eigenvalues

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (3)

On the full Brouwer's Laplacian spectrum conjecture ⋮ Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph ⋮ Bounds for graph energy in terms of vertex covering and clique numbers

Cites Work

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• Graph Energy
• The Grone-Merris Conjecture
• The Laplacian Spectrum of a Graph II

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