Spectra of general hypergraphs

DOI10.1016/j.laa.2016.12.022zbMath1354.05097arXiv1601.02136OpenAlexW2237805507MaRDI QIDQ503779

Anirban Banerjee, Arnab Char, Bibhash Mondal

Publication date: 23 January 2017

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

Full work available at URL: https://arxiv.org/abs/1601.02136

zbMATH Keywords

hypergraphnormalized Laplacianadjacency hypermatrixspectral theory of hypergraphsLaplacian hypermatrix

Mathematics Subject Classification ID

Hypergraphs (05C65) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (20)

Some properties of the p-spectral radius on tensors for general hypergraphs and their applications ⋮ The signless Laplacian matrix of hypergraphs ⋮ Non-uniform Hypergraphs ⋮ A homogeneous polynomial associated with general hypergraphs and its applications ⋮ The \(\alpha \)-spectral radius of \(f\)-connected general hypergraphs ⋮ Vector centrality in hypergraphs ⋮ The eigenvectors to the \(p\)-spectral radius of general hypergraphs ⋮ Spectral theory of weighted hypergraphs via tensors ⋮ Comparing the principal eigenvector of a hypergraph and its shadows ⋮ On some general operators of hypergraphs ⋮ Unnamed Item ⋮ The maximum spectral radius ofk-uniform hypergraphs withrpendent vertices ⋮ Bounds on the spectral radius of general hypergraphs in terms of clique number ⋮ The \(\alpha\)-normal labeling for generalized directed uniform hypergraphs ⋮ On the spectrum of hypergraphs ⋮ The principal eigenvector to \(\alpha\)-spectral radius of hypergraphs ⋮ On adjacency and e-adjacency in general hypergraphs: towards a new e-adjacency tensor ⋮ Some properties of the signless Laplacian and normalized Laplacian tensors of general hypergraphs ⋮ Principal eigenvectors of general hypergraphs ⋮ On the Laplacian spectrum of \(k\)-uniform hypergraphs

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