On the spectral radius of uniform hypertrees

DOI10.1016/J.LAA.2018.07.035zbMath1397.05099OpenAlexW2888641764MaRDI QIDQ1791698

Bo Zhou, Haiyan Guo

Publication date: 11 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.07.035

zbMATH Keywords

spectral radiusindependence numberuniform hypergraphmatching numberadjacency tensorbranch vertices

Mathematics Subject Classification ID

Trees (05C05) Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (13)

The minimum spectral radius of the r-uniform supertree having two vertices of maximum degree ⋮ The weighted hypergraph with the maximum spectral radius ⋮ On some properties of the \(\alpha \)-spectral radius of the \(k\)-uniform hypergraph ⋮ The spectrum of a class of uniform hypergraphs ⋮ The linear unicyclic hypergraph with the second or third largest spectral radius ⋮ The hypertree with the largest spectral radius among all hypertrees with given size and stability number ⋮ The maximum \(\alpha \)-spectral radius and the majorization theorem of \(k\)-uniform supertrees ⋮ On the spectral radius of uniform weighted hypergraph ⋮ Spectral radius and matching number of the unicyclic hypergraph ⋮ Uniform supertrees with extremal spectral radii ⋮ Distance spectral radii of k-uniform hypertrees with given parameters ⋮ On the \(\alpha \)-spectral radius of uniform hypergraphs ⋮ On the conjecture of the \(r\)-uniform supertrees with the eight largest \(\alpha\)-spectral radii

Cites Work

• The extremal spectral radii of \(k\)-uniform supertrees
• Maximizing spectral radii of uniform hypergraphs with few edges
• Symmetric nonnegative tensors and copositive tensors
• Spectra of uniform hypergraphs
• Some spectral properties of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• Some upper bounds on the eigenvalues of uniform hypergraphs
• Upper bounds for \(H\)- and \(Z\)-spectral radii of uniform hypergraphs
• On spectral hypergraph theory of the adjacency tensor
• Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs
• On ordinary and signless Laplacian spectral radius of graphs with fixed number of branch vertices
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• The first few unicyclic and bicyclic hypergraphs with largest spectral radii
• The maximum spectral radii of uniform supertrees with given degree sequences
• The first two largest spectral radii of uniform supertrees with given diameter
• A general product of tensors with applications
• Eigenvalues of a real supersymmetric tensor
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Indices of trees with a prescribed diameter
• Ordering of some uniform supertrees with larger spectral radii

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