On theα-spectral radius of irregular uniform hypergraphs

DOI10.1080/03081087.2018.1502253zbMath1428.05197OpenAlexW2889590793WikidataQ114641432 ScholiaQ114641432MaRDI QIDQ5210717

Bo Zhou, Haiyan Guo, Hongying Lin

Publication date: 21 January 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2018.1502253

zbMATH Keywords

adjacency tensormaximum degreesignless Laplacian tensor\(\alpha\)-spectral radiusirregular uniform hypergraph

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

The \(\alpha \)-spectral radius of general hypergraphs ⋮ The spectral radii of intersecting uniform hypergraphs ⋮ The \(\alpha \)-spectral radius of \(f\)-connected general hypergraphs ⋮ Sharp bounds for the spectral radii of nonnegative tensors ⋮ On the \(\alpha \)-spectra of uniform hypergraphs and its associated graphs ⋮ Some bounds on spectral radius of signless Laplacian matrix of k-graphs ⋮ The maximum \(\alpha \)-spectral radius and the majorization theorem of \(k\)-uniform supertrees ⋮ On the Sα-matrix of graphs ⋮ The \(A_\alpha\)-spread of a graph ⋮ \( A_\alpha\)-spectral characterizations of some joins ⋮ Lower bounds for the \(\mathcal{A}_\alpha\)-spectral radius of uniform hypergraphs ⋮ On the irregularity of uniform hypergraphs ⋮ On the conjecture of the \(r\)-uniform supertrees with the eight largest \(\alpha\)-spectral radii ⋮ Some properties on \(\alpha\)-least eigenvalue of uniform hypergraphs and their applications

Cites Work

• Symmetric nonnegative tensors and copositive tensors
• Spectra of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• Upper bounds for \(H\)- and \(Z\)-spectral radii of uniform hypergraphs
• On the \(A_{\alpha}\)-spectra of trees
• On spectral hypergraph theory of the adjacency tensor
• Principal eigenvectors and spectral radii of uniform hypergraphs
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• On the signless Laplacian spectral radius of irregular graphs
• A new eigenvalue inclusion set for tensors and its applications
• The spectral radius and the maximum degree of irregular graphs
• A general product of tensors with applications
• Regular uniform hypergraphs, \(s\)-cycles, \(s\)-paths and their largest Laplacian H-eigenvalues
• Eigenvalues of a real supersymmetric tensor
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• On the α-spectral radius of graphs
• Merging the A-and Q-spectral theories