Spectral properties of oriented hypergraphs

DOI10.13001/1081-3810.1625zbMath1327.05220arXiv1506.05054OpenAlexW285505745MaRDI QIDQ5501676

Nathan Reff

Publication date: 14 August 2015

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05054

zbMATH Keywords

signed graphsignless Laplacianoriented hypergraphhypergraph adjacency matrixhypergraph Laplacianhypergraph Laplacian eigenvalueshypergraph spectra

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Related Items (20)

A connection between Hadamard matrices, oriented hypergraphs and signed graphs ⋮ Oriented hypergraphs: balanceability ⋮ A spectral method to incidence balance of oriented hypergraphs and induced signed hypergraphs ⋮ Unnamed Item ⋮ Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology ⋮ Adjacency energy of hypergraphs ⋮ The signless Laplacian matrix of hypergraphs ⋮ Unnamed Item ⋮ Some properties on eccentricity matrices of uniform hypertrees ⋮ Some bounds on spectral radius of signless Laplacian matrix of k-graphs ⋮ Spectral theory of weighted hypergraphs via tensors ⋮ Coloring the normalized Laplacian for oriented hypergraphs ⋮ Principal eigenvector of the signless Laplacian matrix ⋮ Unnamed Item ⋮ Signed \(k\)-uniform hypergraphs and tensors ⋮ Spectral theory of Laplace operators on oriented hypergraphs ⋮ Sharp bounds for the largest eigenvalue ⋮ Incidence hypergraphs: injectivity, uniformity, and matrix-tree theorems ⋮ Some bounds for the incidence \(Q\)-spectral radius of uniform hypergraphs ⋮ Spectra of cycle and path families of oriented hypergraphs

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