Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs

DOI10.1080/03081087.2015.1009061zbMath1326.05101arXiv1403.4845OpenAlexW2029622920MaRDI QIDQ3455688

Baofeng Wu, Jia-yu Shao, Hai-Ying Shan

Publication date: 11 December 2015

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

Full work available at URL: https://arxiv.org/abs/1403.4845

zbMATH Keywords

tensorhypergraphCartesian productdirect productLaplacian spectraodd-bipartitesignless Laplacian spectra

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Connectivity (05C40) Graph operations (line graphs, products, etc.) (05C76)

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Cites Work

• Spectra of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• Perron-Frobenius theorem for nonnegative tensors
• Algebraic connectivity of an even uniform hypergraph
• On determinants and eigenvalue theory of tensors
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• A general product of tensors with applications
• The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph
• Eigenvalues of a real supersymmetric tensor

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