The maximum spectral radius of uniform hypergraphs with given number of pendant edges

DOI10.1080/03081087.2018.1453471zbMath1414.05186OpenAlexW2790017913MaRDI QIDQ5378511

Peng Xiao, Li-Gong Wang

Publication date: 3 June 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1453471

zbMATH Keywords

spectral radiusuniform hypergraphsupertreependant edge

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (17)

The minimum spectral radius of the r-uniform supertree having two vertices of maximum degree ⋮ The weighted hypergraph with the maximum spectral radius ⋮ The \(\alpha \)-spectral radius of general hypergraphs ⋮ The linear unicyclic hypergraph with the second or third largest spectral radius ⋮ The spectral radii of intersecting uniform hypergraphs ⋮ The maximum \(\alpha\)-spectral radius of unicyclic hypergraphs with fixed diameter ⋮ The maximum \(\alpha \)-spectral radius and the majorization theorem of \(k\)-uniform supertrees ⋮ On the spectral radius of uniform weighted hypergraph ⋮ The effect on the adjacency and signless Laplacian spectral radii of uniform hypergraphs by grafting edges ⋮ Sharp bounds on the spectral radii of uniform hypergraphs concerning diameter or clique number ⋮ Some properties of the signless Laplacian and normalized Laplacian tensors of general hypergraphs ⋮ On the irregularity of uniform hypergraphs ⋮ Largest signless Laplacian spectral radius of uniform supertrees with diameter and pendent edges (vertices) ⋮ Uniform supertrees with extremal spectral radii ⋮ On the \(\alpha \)-spectral radius of uniform hypergraphs ⋮ Uniform hypergraphs with the first two smallest spectral radii ⋮ The (signless Laplacian) spectral radius (of subgraphs) of uniform hypergraphs

Cites Work

• Connected hypergraphs with small spectral radius
• The extremal spectral radii of \(k\)-uniform supertrees
• On the principal eigenvectors of uniform hypergraphs
• 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
• Ordering uniform supertrees by their spectral radii
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• On the spectral radius of a class of non-odd-bipartite even uniform hypergraphs
• 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
• Eigenvalues of a real supersymmetric tensor

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