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On the least eigenvalue of A-matrix of graphs

  • Published:2020-02 Issue: Volume:586 Page:347-376
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Liu Shuting,Das Kinkar ChandraORCID,Sun Shaowei,Shu Jinlong

Funder

National Natural Science Foundation of China

China Scholarship Council

National Research Foundation of the Korean government

Publisher

Elsevier BV

Subject

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

Reference29 articles.

1. Graph Theory with Applications;Bondy,1976

2. Spectra of Graphs;Brouwer,2012

3. On the multiplicity of α as an eigenvalue of Aα(G) of graphs with pendant vertices;Cardoso;Linear Algebra Appl.,2018

4. A sharp lower bound on the least signless Laplacian eigenvalue of a graph;Chen;Bull. Malays. Math. Sci. Soc.,2018

5. On conjectures involving second largest signless Laplacian eigenvalue of graphs;Das;Linear Algebra Appl.,2010

Cited by 18 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. Bounds for the ;1-adjacency energy of a graph;Journal of Mathematical Inequalities;2024

2. Some results involving the A α -eigenvalues for graphs and line graphs;Special Matrices;2024-01-01

3. Bounds for Aα-eigenvalues;RAIRO - Operations Research;2023-09

4. On the characteristic polynomial of the $$A_\alpha $$-matrix for some operations of graphs;Computational and Applied Mathematics;2023-06-06

5. On Aα spectrum of the zero-divisor graph of the ring ℤn;Discrete Mathematics, Algorithms and Applications;2023-06-05
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