On Spectral Hypergraph Theory of the Adjacency Tensor

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.

Saved in:

Bibliographic Details
Published in:	Graphs and combinatorics Vol. 30; no. 5; pp. 1233 - 1248
Main Authors:	Pearson, Kelly J., Zhang, Tan
Format:	Journal Article
Language:	English
Published:	Tokyo Springer Japan 01.09.2014 Springer Nature B.V
Subjects:	Combinatorial analysis Combinatorics Eigenvectors Engineering Design Graph theory Graphs Mathematical analysis Mathematics Mathematics and Statistics Original Paper Spectra Tensors Hypergraph 05C65 Spectral theory of hypergraph 05C50 Adjacency tensor 15A69 15A18
ISSN:	0911-0119, 1435-5914
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!