The spectra of uniform hypertrees

DOI10.1016/j.laa.2017.07.018zbMath1371.05168OpenAlexW2738980196MaRDI QIDQ2404964

Wei Zhang, Erfang Shan, Yan-Qin Bai, Li-ying Kang

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.07.018

zbMATH Keywords

matchingspectrumcharacteristic polynomialuniform hypergraphadjacency tensorhypertree

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (18)

The minimum spectral radius of the r-uniform supertree having two vertices of maximum degree ⋮ Spectra of weighted uniform hypertrees ⋮ On the adjacency spectra of hypertrees ⋮ The α-normal labelling method for computing the p-spectral radii of uniform hypergraphs ⋮ The spectrum of a class of uniform hypergraphs ⋮ The linear unicyclic hypergraph with the second or third largest spectral radius ⋮ The matching polynomials of hypergraphs and weighted hypergraphs ⋮ The trace and Estrada index of uniform hypergraphs with cut vertices ⋮ Comparing the principal eigenvector of a hypergraph and its shadows ⋮ On a relationship between the characteristic and matching polynomials of a uniform hypertree ⋮ The largest spectral radius of uniform hypertrees with a given size of matching ⋮ Spectral radius of \(r\)-uniform supertrees with perfect matchings ⋮ Sharp bounds on the spectral radii of uniform hypergraphs concerning diameter or clique number ⋮ The stabilizing index and cyclic index of the coalescence and Cartesian product of uniform hypergraphs ⋮ The matching polynomials and spectral radii of uniform supertrees ⋮ Signed \(k\)-uniform hypergraphs and tensors ⋮ Uniform supertrees with extremal spectral radii ⋮ The second largest spectral radii of uniform hypertrees with given size of matching

Cites Work

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• Connected hypergraphs with small spectral radius
• The extremal spectral radii of \(k\)-uniform supertrees
• Spectra of uniform hypergraphs
• Some spectral properties of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• Perron-Frobenius theorem for nonnegative tensors
• On the spectral radius and the genus of graphs
• On determinants and eigenvalue theory of tensors
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• A general product of tensors with applications
• Eigenvalues of a real supersymmetric tensor
• The characteristic polynomial of a graph

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