English

On spectral hypergraph theory of the adjacency tensor

Spectral Theory 2012-09-26 v1

Abstract

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

Keywords

Cite

@article{arxiv.1209.5614,
  title  = {On spectral hypergraph theory of the adjacency tensor},
  author = {Kelly J. Pearson and Tan Zhang},
  journal= {arXiv preprint arXiv:1209.5614},
  year   = {2012}
}
R2 v1 2026-06-21T22:10:47.754Z