On Spectral Hypergraph Theory of the Adjacency Tensor

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. 
DOI: 10.1007/s00373-013-1340-x

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Cite this paper

@article{Pearson2014OnSH, title={On Spectral Hypergraph Theory of the Adjacency Tensor}, author={Kelly J. Pearson and Tan Zhang}, journal={Graphs and Combinatorics}, year={2014}, volume={30}, pages={1233-1248} }