E-cospectral hypergraphs and some hypergraphs determined by their spectra

DOI10.1016/j.laa.2014.07.020zbMath1300.05195arXiv1406.1085OpenAlexW2963929755MaRDI QIDQ401202

Changjiang Bu, Jiang Zhou, Yi-Min Wei

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1406.1085

zbMATH Keywords

adjacency tensorcospectral hypergraphE-cospectral hypergraphs

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)

Related Items (9)

Inverse Perron values and connectivity of a uniform hypergraph ⋮ Extension of Moore–Penrose inverse of tensor via Einstein product ⋮ Non-uniform Hypergraphs ⋮ Joins of hypergraphs and their spectra ⋮ On spectral theory of a k-uniform directed hypergraph ⋮ The Drazin inverse of an even-order tensor and its application to singular tensor equations ⋮ Laplacian and signless Laplacian Z-eigenvalues of uniform hypergraphs ⋮ Signed \(k\)-uniform hypergraphs and tensors ⋮ Numerical study on Moore-Penrose inverse of tensors via Einstein product

Cites Work

• E-characteristic polynomials of tensors
• Spectra of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• Constructing cospectral graphs
• Eigenvalues and invariants of tensors
• Which graphs are determined by their spectrum?
• Enumeration of cospectral graphs.
• Algebraic connectivity of an even uniform hypergraph
• On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs
• A general product of tensors with applications
• Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues
• Regular uniform hypergraphs, \(s\)-cycles, \(s\)-paths and their largest Laplacian H-eigenvalues
• The inverse, rank and product of tensors
• The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph
• Eigenvalues of a real supersymmetric tensor
• Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs

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