On the α-spectral radius of graphs

DOI10.2298/AADM180210022GzbMath1499.05361arXiv1805.03456OpenAlexW3095154661MaRDI QIDQ5028787

Bo Zhou, Haiyan Guo

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03456

zbMATH Keywords

treeadjacency matrixunicyclic graphirregular graph\(\alpha\)-spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (16)

Aα spectra of graphs obtained by two corona operations and Aα cospectral graphs ⋮ On the multiplicity of an arbitrary \(A_\alpha\)-eigenvalue of a connected graph ⋮ Bounds for the largest and the smallest \(A_\alpha\) eigenvalues of a graph in terms of vertex degrees ⋮ On the A_α spectral radius of digraphs with given parameters ⋮ The maximum \(\alpha\)-spectral radius of unicyclic hypergraphs with fixed diameter ⋮ On the \(\alpha\)-spectral radius of unicyclic and bicyclic graphs with a fixed diameter ⋮ Some α -spectral extremal results for some digraphs ⋮ Some bounds on the spectral radius of uniform hypergraphs ⋮ On the relationship between shortlex order and \(A_\alpha \)-spectral radii of graphs with starlike branch tree ⋮ Ordering trees by \(\alpha\)-index ⋮ Bounding the \(A_\alpha\)-spectral radius of \(k\)-connected irregular graphs ⋮ \( A_\alpha\)-spectral characterizations of some joins ⋮ On theα-spectral radius of irregular uniform hypergraphs ⋮ On the \(\alpha \)-spectral radius of uniform hypergraphs ⋮ On the multiplicity of \(\alpha\) as an eigenvalue of the \(a_\alpha\) matrix of a graph in terms of the number of pendant vertices ⋮ New results on α-spectral radius of graphs

Cites Work

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• Merging the A-and Q-spectral theories

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