On the \(A_\sigma\)-spectral radii of graphs with some given parameters (Q2153780)
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| Language | Label | Description | Also known as |
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| English | On the \(A_\sigma\)-spectral radii of graphs with some given parameters |
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On the \(A_\sigma\)-spectral radii of graphs with some given parameters (English)
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13 July 2022
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This paper investigates mainly the upper bound of the largest eigenvalue of the \(A_{\alpha}\)-matrix (proposed by \textit{V. Nikiforov} [Appl. Anal. Discrete Math. 11, No. 1, 81--107 (2017; Zbl 1499.05384)]) of two families of graphs: \(n\)-vertex block graphs with independence number \(\alpha\) and \(n\)-vertex graphs with \(k\) cut edges.
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\(A_\sigma\)-index
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signless Laplacian spectral radius
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block graph
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independence number
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cut edge
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