Some properties of the spectral radius for general hypergraphs

DOI10.1016/j.laa.2016.10.005zbMath1349.05225OpenAlexW2531187600MaRDI QIDQ344888

Wei Zhang, Lele Liu, Yan-Qin Bai, Li-ying Kang

Publication date: 25 November 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.2016.10.005

zbMATH Keywords

spectral radiusadjacency tensorweighted incidence matrixgeneral hypergraphnearly uniform supertree

Mathematics Subject Classification ID

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

Related Items (12)

Some properties of the p-spectral radius on tensors for general hypergraphs and their applications ⋮ A homogeneous polynomial associated with general hypergraphs and its applications ⋮ Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors ⋮ The eigenvectors to the \(p\)-spectral radius of general hypergraphs ⋮ On some general operators of hypergraphs ⋮ The maximum spectral radius ofk-uniform hypergraphs withrpendent vertices ⋮ Bounds on the spectral radius of general hypergraphs in terms of clique number ⋮ The principal eigenvector to \(\alpha\)-spectral radius of hypergraphs ⋮ A bound on the spectral radius of hypergraphs with \(e\) edges ⋮ Some properties of the signless Laplacian and normalized Laplacian tensors of general hypergraphs ⋮ Signed \(k\)-uniform hypergraphs and tensors ⋮ Principal eigenvectors of general hypergraphs

Cites Work

• Unnamed Item
• Symmetric nonnegative tensors and copositive tensors
• Spectra of uniform hypergraphs
• On spectral hypergraph theory of the adjacency tensor
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• A general product of tensors with applications
• Eigenvalues of a real supersymmetric tensor
• Ordering of some uniform supertrees with larger spectral radii

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