English

Principal eigenvectors of general hypergraphs

Spectral Theory 2019-11-20 v2 Combinatorics

Abstract

In this paper we obtain bounds for the extreme entries of the principal eigenvector of hypergraphs; these bounds are computed using the spectral radius and some classical parameters such as maximum and minimum degrees. We also study inequalities involving the ratio and difference between the two extreme entries of this vector.

Keywords

Cite

@article{arxiv.1909.00238,
  title  = {Principal eigenvectors of general hypergraphs},
  author = {Kauê Cardoso and Vilmar Trevisan},
  journal= {arXiv preprint arXiv:1909.00238},
  year   = {2019}
}

Comments

Keywords - Hypergraph; Adjacency tensor; Spectral radius; Principal eigenvector

R2 v1 2026-06-23T11:02:10.094Z