On the \(\alpha \)-spectral radius of uniform hypergraphs

DOI10.7151/dmgt.2268zbMath1433.05194arXiv1807.08112OpenAlexW2996173283MaRDI QIDQ2296004

Bo Zhou, Haiyan Guo

Publication date: 17 February 2020

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08112

zbMATH Keywords

uniform hypergraphadjacency tensorextremal hypergraph\( \alpha \)-spectral radius\( \alpha \)-Perron vector

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (15)

The \(\alpha \)-spectral radius of general hypergraphs ⋮ The spectral radii of intersecting uniform hypergraphs ⋮ The maximum \(\alpha\)-spectral radius of unicyclic hypergraphs with fixed diameter ⋮ The \(\alpha \)-spectral radius of \(f\)-connected general hypergraphs ⋮ Some bounds on the spectral radius of uniform hypergraphs ⋮ On the \(\alpha \)-spectra of uniform hypergraphs and its associated graphs ⋮ The maximum \(\alpha \)-spectral radius and the majorization theorem of \(k\)-uniform supertrees ⋮ The \(A_\alpha\)-spread of a graph ⋮ The \(A_\alpha\) spectral radius and maximum outdegree of irregular digraphs ⋮ The principal eigenvector to \(\alpha\)-spectral radius of hypergraphs ⋮ Sharp bounds on the spectral radii of uniform hypergraphs concerning diameter or clique number ⋮ Some spectral inequalities for connected bipartite graphs with maximum \(A_\alpha\)-index ⋮ The \(\alpha\)-spectral radius of uniform hypergraphs concerning degrees and domination number ⋮ 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

• 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
• Some spectral properties of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph
• Some upper bounds on the eigenvalues of uniform hypergraphs
• 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
• Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs
• On the spectral radius of uniform hypertrees
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• A new eigenvalue inclusion set for tensors and its applications
• 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
• 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
• Indices of trees with a prescribed diameter
• The maximum spectral radius ofk-uniform hypergraphs withrpendent vertices
• On the α-spectral radius of graphs
• Merging the A-and Q-spectral theories
• The maximum spectral radius of uniform hypergraphs with given number of pendant edges
• Ordering of some uniform supertrees with larger spectral radii

This page was built for publication: On the \(\alpha \)-spectral radius of uniform hypergraphs