The zero eigenvalue of the Laplacian tensor of a uniform hypergraph

DOI10.1080/03081087.2023.2172541zbMATH Open1546.05095MaRDI QIDQ6546562

Ya-nan Zheng

Publication date: 29 May 2024

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

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)

Cites Work

• Title not available (Why is that?)
• Multiplicities of tensor eigenvalues
• Spectra of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• Le formalisme du résultant. (The formalism of resultant)
• A Harary-Sachs theorem for hypergraphs
• A combinatorial method for computing characteristic polynomials of starlike hypergraphs
• A reduction formula for the characteristic polynomial of hypergraph with pendant edges
• Eigenvectors of Laplacian or signless Laplacian of hypergraphs associated with zero eigenvalue
• The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph
• Eigenvalues of a real supersymmetric tensor
• Geometric vs algebraic nullity for hyperpaths
• Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs
• Using Algebraic Geometry
• Stickelberger and the Eigenvalue Theorem
• Computing hypermatrix spectra with the Poisson product formula

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