An upper bound for the \(Z\)-spectral radius of adjacency tensors

DOI10.1186/S13660-018-1672-4zbMath1497.15011OpenAlexW2803962464WikidataQ52587251 ScholiaQ52587251MaRDI QIDQ824511

Yan-Min Liu, Zhi-Yong Wu, Jun He, Jun-kang Tian

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1672-4

zbMATH Keywords

hypergraphboundnonnegative tensor\(Z\)-eigenvalue

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

On the stability of discrete-time homogeneous polynomial dynamical systems

Cites Work

• Brauer-type eigenvalue inclusion sets and the spectral radius of tensors
• Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
• \(Z\)-eigenpair bounds for an irreducible nonnegative tensor
• Eigenvalues and invariants of tensors
• Perron-Frobenius theorem for nonnegative tensors
• Upper bound for the largest \(Z\)-eigenvalue of positive tensors
• On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs
• Eigenvalues of a real supersymmetric tensor
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors II
• New eigenvalue inclusion sets for tensors

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