Upper bounds for \(H\)- and \(Z\)-spectral radii of uniform hypergraphs
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Publication:501237
DOI10.1016/j.laa.2016.08.009zbMath1352.05138OpenAlexW2513690276MaRDI QIDQ501237
Hongying Lin, Biao Mo, Bo Zhou
Publication date: 29 December 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.009
uniform hypergraphadjacency tensor\(H\)-eigenvector\(H\)-spectral radius\(Z\)-eigenvector\(Z\)-spectral radius
Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Multilinear algebra, tensor calculus (15A69)
Related Items (16)
The first few unicyclic and bicyclic hypergraphs with largest spectral radii ⋮ Principal eigenvectors and spectral radii of uniform hypergraphs ⋮ On extremal spectral radii of uniform supertrees with given independence number ⋮ The \(\alpha \)-spectral radius of general hypergraphs ⋮ The \(\alpha \)-spectral radius of \(f\)-connected general hypergraphs ⋮ Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors ⋮ Spectral radius of \(r\)-uniform supertrees with perfect matchings ⋮ Bounds on the spectral radius of general hypergraphs in terms of clique number ⋮ Spectral radius and matching number of the unicyclic hypergraph ⋮ Bounds on the spectral radius of uniform hypergraphs ⋮ Sharp bounds on the spectral radii of uniform hypergraphs concerning diameter or clique number ⋮ The matching polynomials and spectral radii of uniform supertrees ⋮ Spectral radius of uniform hypergraphs and degree sequences ⋮ On the spectral radius of uniform hypertrees ⋮ On theα-spectral radius of irregular uniform hypergraphs ⋮ On the \(\alpha \)-spectral radius of uniform hypergraphs
Cites Work
- Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
- Spectra of uniform hypergraphs
- \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
- Some upper bounds on the eigenvalues of uniform hypergraphs
- On spectral hypergraph theory of the adjacency tensor
- A bound on the spectral radius of graphs
- Bounds on eigenvalues and chromatic numbers
- Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs
- Perron-Frobenius theorem for nonnegative multilinear forms and extensions
- On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs
- A general product of tensors with applications
- Eigenvalues of a real supersymmetric tensor
- A survey on the spectral theory of nonnegative tensors
- Analytic connectivity of k-uniform hypergraphs
- Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
- Spectral Extremal Problems for Hypergraphs
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