The largest \(H\)-eigenvalue and spectral radius of Laplacian tensor of non-odd-bipartite generalized power hypergraphs

DOI10.1016/j.laa.2016.04.007zbMath1336.05087arXiv1510.02178OpenAlexW2211827142MaRDI QIDQ286171

Yi-Zheng Fan, Ying-Ying Tan, Murad-ul-Islam Khan

Publication date: 20 May 2016

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

Full work available at URL: https://arxiv.org/abs/1510.02178

zbMATH Keywords

spectral radiusspectrum\(H\)-spectrumLaplacian tensorlargest \(H\)-eigenvaluenon-odd-bipartite hypergraph

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Related Items (9)

Some properties and applications of odd-colorable \(r\)-hypergraphs ⋮ A family of gradient methods using Householder transformation with application to hypergraph partitioning ⋮ The spectral property of hypergraph coverings ⋮ Computing the largest H-eigenvalue of large-scale tensors generated from directed hypergraphs ⋮ Eigenvectors of Laplacian or signless Laplacian of hypergraphs associated with zero eigenvalue ⋮ The spectral symmetry of weakly irreducible nonnegative tensors and connected hypergraphs ⋮ The least H-eigenvalue of signless Laplacian of non-odd-bipartite hypergraphs ⋮ Least H-eigenvalue of adjacency tensor of hypergraphs with cut vertices ⋮ Some properties on \(\alpha\)-least eigenvalue of uniform hypergraphs and their applications

Cites Work

• The \(H\)-spectra of a class of generalized power hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph
• Perron-Frobenius theorem for nonnegative tensors
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• On the spectral radius of a class of non-odd-bipartite even uniform hypergraphs
• A general product of tensors with applications
• Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues
• Eigenvalues of a real supersymmetric tensor
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs
• Matrix Analysis

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