On the $ A_{\alpha^-} $-spectra of graphs and the relation between $ A_{\alpha} $- and $ A_{\alpha^-} $-spectra

On the $ A_{\alpha^-} $-spectra of graphs and the relation between $ A_{\alpha} $- and $ A_{\alpha^-} $-spectra

<p>Let $ G $ be a graph with adjacency matrix $ A(G) $, and let $ D(G) $ be the diagonal matrix of the degrees of $ G $. For any real number $ \alpha\in [0, 1] $, Nikiforov defined the $ A_{\alpha} $-matrix of $ G $ as</p> <p class="disp_formula"> $ A_{\alpha}(G) =...

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Bibliographic Details
Main Authors: Wafaa Fakieh, Zakeiah Alkhamisi, Hanaa Alashwali
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
laplacian
singnless laplacian
$ a_{\alpha^-} $-spectral radius
$ a_{\alpha} $-matrix
sum of powers of $ a_{\alpha} $-eigenvalues
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024221?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024221?viewType=HTML

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