The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

DOI10.1016/j.laa.2023.08.011zbMath1525.05092MaRDI QIDQ6083981

Li-Gong Wang, van Dam, Edwin R., Cunxiang Duan

Publication date: 31 October 2023

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

zbMATH Keywords

tracecharacteristic polynomialadjacency tensordouble hyperstarhypertrianglespectrum of a hypergraph

Mathematics Subject Classification ID

Graph polynomials (05C31) Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Polynomials in real and complex fields: factorization (12D05)

Cites Work

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• A reduction formula for the characteristic polynomial of hypergraph with pendant edges
• Lower bounds for the \(\mathcal{A}_\alpha\)-spectral radius of uniform hypergraphs
• Eigenvalues of a real supersymmetric tensor
• Using Algebraic Geometry
• Spectral Radius on Linear $r$-Graphs without Expanded $K_{r+1}$
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• Computing hypermatrix spectra with the Poisson product formula
• Some new trace formulas of tensors with applications in spectral hypergraph theory
• All eigenvalues of the power hypergraph and signed subgraphs of a graph

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