On the principal eigenvectors of uniform hypergraphs

DOI10.1016/j.laa.2016.09.015zbMath1350.05095arXiv1605.09281OpenAlexW2409649728MaRDI QIDQ331188

Lele Liu, Xi-Ying Yuan, Li-ying Kang

Publication date: 26 October 2016

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

Full work available at URL: https://arxiv.org/abs/1605.09281

zbMATH Keywords

uniform hypergraphprincipal eigenvectoradjacency tensorprincipal ratioweighted incidence matrix

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (17)

Principal eigenvectors and spectral radii of uniform hypergraphs ⋮ The α-normal labelling method for computing the p-spectral radii of uniform hypergraphs ⋮ The first two largest spectral radii of uniform supertrees with given diameter ⋮ The \(\alpha \)-spectral radius of \(f\)-connected general hypergraphs ⋮ Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors ⋮ Some bounds on the spectral radius of uniform hypergraphs ⋮ The eigenvectors to the \(p\)-spectral radius of general hypergraphs ⋮ On the spectral radii and principal eigenvectors of uniform hypergraphs ⋮ The maximum spectral radius of uniform hypergraphs with given number of pendant edges ⋮ The effect on the adjacency and signless Laplacian spectral radii of uniform hypergraphs by grafting edges ⋮ The principal eigenvector to \(\alpha\)-spectral radius of hypergraphs ⋮ Some properties of the signless Laplacian and normalized Laplacian tensors of general hypergraphs ⋮ Signed \(k\)-uniform hypergraphs and tensors ⋮ Largest signless Laplacian spectral radius of uniform supertrees with diameter and pendent edges (vertices) ⋮ Principal eigenvectors of general hypergraphs ⋮ Some upper bounds on \(Z_t\)-eigenvalues of tensors ⋮ The (signless Laplacian) spectral radius (of subgraphs) of uniform hypergraphs

Cites Work

• Unnamed Item
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• Connected hypergraphs with small spectral radius
• The extremal spectral radii of \(k\)-uniform supertrees
• Symmetric nonnegative tensors and copositive tensors
• Maximal and minimal entry in the principal eigenvector for the distance matrix of a graph
• Spectra of uniform hypergraphs
• Bounds on the entries of the principal eigenvector of the distance signless Laplacian matrix
• A sharp upper bound on the maximal entry in the principal eigenvector of symmetric nonnegative matrix
• Revisiting two classical results on graph spectra
• The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs
• Perron-Frobenius theorem for nonnegative tensors
• Hypergraph theory. An introduction
• On maximal entries in the principal eigenvector of graphs
• Analytic methods for uniform hypergraphs
• A general product of tensors with applications
• Eigenvalues of a real supersymmetric tensor
• A spectral condition for odd cycles in graphs
• Diameter increase caused by edge deletion
• On the bounds of maximal entries in the principal eigenvector of symmetric nonnegative matrix

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