On Spectral Hypergraph Theory of the Adjacency Tensor |
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| Authors: | Kelly J Pearson Tan Zhang |
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| Institution: | 1. Department of Mathematics and Statistics, Murray State University, Murray, KY, 42071-0009, USA
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| 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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