Nordhaus–Gaddum type inequalities for the two largest Laplacian eigenvalues

Author:

Grijó Rodrigo,de Lima Leonardo,Oliveira Carla,Porto Guilherme,Trevisan Vilmar

Funder

CNPq, Brazil

CAPES, Brazil

FAPERGS, Brazil

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference19 articles.

1. A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph;Abreu;Appl. Anal. Discrete Math.,2017

2. A survey of Nordhaus-Gaddum type relations;Aouchiche;Discrete Appl. Math.,2013

3. Nordhaus-Gaddum type inequalities for Laplacian and signless Laplacian eigenvalues;Ashraf;Electron. J. Combin.,2014

4. Some results on the Laplacian spread of a graph;Chen;Linear Algebra Appl.,2016

5. An Introduction to the Theory of Graph Spectra;Cvetkovic,2009

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1. Nordhaus-Gaddum Type Inequalities for the $k$th Largest Laplacian Eigenvalues;The Electronic Journal of Combinatorics;2024-02-09

2. The Laplacian spread of line graphs;Discrete Mathematics;2023-01

3. Some Nordhaus-Gaddum type results ofAα-eigenvalues of weighted graphs;Applied Mathematics and Computation;2021-03

4. Signless Laplacian eigenvalue problems of Nordhaus–Gaddum type;Linear Algebra and its Applications;2019-11

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