On the conjecture of the \(r\)-uniform supertrees with the eight largest \(\alpha\)-spectral radii

DOI10.1016/J.DAM.2022.08.018zbMath1498.05176OpenAlexW4296160152WikidataQ114191380 ScholiaQ114191380MaRDI QIDQ2081499

Rui Sun, Wen-Huan Wang, Jin-Xiu Zhou

Publication date: 13 October 2022

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2022.08.018

zbMATH Keywords

uniform hypergraphsupertree\(\alpha\)-spectral radius

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• The extremal spectral radii of \(k\)-uniform supertrees
• Maximizing spectral radii of uniform hypergraphs with few edges
• Symmetric nonnegative tensors and copositive tensors
• Spectra of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
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• On the spectral radius of uniform hypertrees
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
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• The maximum \(\alpha \)-spectral radius and the majorization theorem of \(k\)-uniform supertrees
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• On the \(\alpha \)-spectral radius of uniform hypergraphs
• Spectral radius of uniform hypergraphs
• The first few unicyclic and bicyclic hypergraphs with largest spectral radii
• The maximum spectral radii of uniform supertrees with given degree sequences
• The first two largest spectral radii of uniform supertrees with given diameter
• A general product of tensors with applications
• The \(\alpha \)-spectral radius of general hypergraphs
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Merging the A-and Q-spectral theories
• On theα-spectral radius of irregular uniform hypergraphs
• Ordering of some uniform supertrees with larger spectral radii

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