On spectral hypergraph theory of the adjacency tensor

2012/09/25 by K. PEARSON, Pearson, Kelly J., Tan Zhang +1 · 2 citations
Mathematics · Medicine · #Tensor decomposition and applications #Advanced Neuroimaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.1209.5614

Abstract

We study both H and E/Z-eigenvalues of the adjacency tensor of a uniform multi-hypergraph and give conditions for which the largest positive H or Z-eigenvalue corresponds to a strictly positive eigenvector. We also investigate when the E-spectrum of the adjacency tensor is symmetric.

Citations

• Spectra of uniform hypergraphs

Cited by

• New linear invariants of hypergraphs
• Non-Markovian heat flows on directed hypergraphs

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• Some bounds on the eigenvalues of uniform hypergraphs
• Some results on the spectral radii of uniform hypergraphs
• Adjacency Spectra of Random and Uniform Hypergraphs
• Spectral properties of general hypergraphs
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