The largest spectral radius of uniform hypertrees with a given size of matching

DOI10.1080/03081087.2018.1560389zbMath1453.05083arXiv1810.06139OpenAlexW2962782075WikidataQ114641314 ScholiaQ114641314MaRDI QIDQ5125844

Erfang Shan, Li Su, Hong-Hai Li, Li-ying Kang

Publication date: 2 October 2020

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

Full work available at URL: https://arxiv.org/abs/1810.06139

zbMATH Keywords

hypergrapheigenvaluesmatchingmatching polynomialadjacency tensorhypertree

Mathematics Subject Classification ID

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 (7)

The minimum spectral radius of the r-uniform supertree having two vertices of maximum degree ⋮ The linear unicyclic hypergraph with the second or third largest spectral radius ⋮ The maximum \(\alpha\)-spectral radius of unicyclic hypergraphs with fixed diameter ⋮ The hypertree with the largest spectral radius among all hypertrees with given size and stability number ⋮ Sharp bounds on the spectral radii of uniform hypergraphs concerning diameter or clique number ⋮ Uniform supertrees with extremal spectral radii ⋮ The second largest spectral radii of uniform hypertrees with given size of matching

Cites Work

• The extremal spectral radii of \(k\)-uniform supertrees
• Spectra of uniform hypergraphs
• Bounds on the largest eigenvalues of trees with a given size of matching
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• Hypergraph theory. An introduction
• The matching polynomials and spectral radii of uniform supertrees
• On the spectral radius of a class of non-odd-bipartite even uniform hypergraphs
• The maximum spectral radii of uniform supertrees with given degree sequences
• The spectra of uniform hypertrees
• 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
• Tensor Analysis
• Ordering of some uniform supertrees with larger spectral radii

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