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.

Cited by in corpus (2)

• H${}^{+}$-Eigenvalues of Laplacian and Signless Laplacian Tensors
• Predicting Multi-actor collaborations using Hypergraphs