English

Some bounds on the eigenvalues of uniform hypergraphs

Combinatorics 2015-02-24 v1

Abstract

Let H\mathcal{H} be a uniform hypergraph. Let A(H)\mathcal{A(H)} and Q(H)\mathcal{Q(H)} be the adjacency tensor and the signless Laplacian tensor of H\mathcal{H}, respectively. In this note we prove several bounds for the spectral radius of A(H)\mathcal{A(H)} and Q(H)\mathcal{Q(H)} in terms of the degrees of vertices of H.\mathcal{H}.

Keywords

Cite

@article{arxiv.1502.06475,
  title  = {Some bounds on the eigenvalues of uniform hypergraphs},
  author = {Xiying Yuan and Man Zhang and Mei Lu},
  journal= {arXiv preprint arXiv:1502.06475},
  year   = {2015}
}
R2 v1 2026-06-22T08:35:36.062Z