Nordhaus–Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graph

Author:

Elphick Clive,Aouchiche Mustapha

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference23 articles.

1. Upper bounds on the order of a clique of a graph;Amin;SIAM J. Appl. Math.,1972

2. Proof of a conjectured lower bound on the chromatic number of a graph;Ando;Linear Algebra Appl.,2015

3. Variable neighbourhood search for extremal graphs. 16: some conjectures related to the largest eigenvalue of a graph;Aouchiche;European J. Oper. Res.,2008

4. Variable neighborhood search for extremal graphs. 14. The AutoGraphiX 2 system;Aouchiche,2006

5. Open problems on graph eigenvalues studied with AutoGraphiX;Aouchiche;EURO J. Comput. Optim.,2013

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Graph Limits and Spectral Extremal Problems for Graphs;SIAM Journal on Discrete Mathematics;2024-01-31

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

3. Fundamental limitations;Introduction to Linear Control Systems;2019

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