A note on the positive semidefiniteness of A(G)

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Nikiforov, Vladimir, and Oscar Rojo. “A Note on the Positive Semidefiniteness of A(G)”. Linear Algebra and Its Applications, vol. 519, 2017, pp. 156-63, https://doi.org/10.1016/j.laa.2016.12.042.
Nikiforov, V., & Rojo, O. (2017). A note on the positive semidefiniteness of A(G). Linear Algebra and Its Applications, 519, 156-163. https://doi.org/10.1016/j.laa.2016.12.042
Nikiforov V, Rojo O. A note on the positive semidefiniteness of A(G). Linear Algebra and its Applications. 2017;519:156-63.
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Refrences
Title Journal Journal Categories Citations Publication Date
Eigenvalue bounds for the signless Laplacian 2007
The smallest eigenvalue of the signless Laplacian Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
33 2011
A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
66 2008
Lower bounds on the spectra of symmetric matrices with nonnegative entries Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
32 1985
Graphs with least eigenvalue −2 attaining a convex quadratic upper bound for the stability number 2006
Refrences Analysis
The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 3 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
The A spectral moments of digraphs with a given dichromatic number Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Sharp Bounds on the Aα-index of Graphs in Terms of the Independence Number Acta Mathematicae Applicatae Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Bounds for the spectral radius of the $$A_{\alpha }$$-matrix of graphs Indian Journal of Pure and Applied Mathematics
  • Science: Mathematics
2023
On the characteristic polynomial of the $$A_\alpha $$-matrix for some operations of graphs Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
The maximum A-spectral radius of t-connected graphs with bounded matching number Discrete Mathematics
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 32 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the A-spectra of graphs and was published in 2018. The most recent citation comes from a 2024 study titled The A spectral moments of digraphs with a given dichromatic number. This article reached its peak citation in 2020, with 10 citations. It has been cited in 18 different journals, 11% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 11 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year