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.
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Pearson, K.J., Zhang, T. On Spectral Hypergraph Theory of the Adjacency Tensor. Graphs and Combinatorics 30, 1233–1248 (2014). https://doi.org/10.1007/s00373-013-1340-x
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DOI: https://doi.org/10.1007/s00373-013-1340-x