English

Sharp upper and lower bounds for the spectral radius of a nonnegative weakly irreducible tensor and its applications

Combinatorics 2018-07-31 v1

Abstract

In this paper, we obtain the sharp upper and lower bounds for the spectral radius of a nonnegative weakly irreducible tensor. We also apply these bounds to the adjacency spectral radius and signless Laplacian spectral radius of a uniform hypergraph.

Keywords

Cite

@article{arxiv.1807.11224,
  title  = {Sharp upper and lower bounds for the spectral radius of a nonnegative weakly irreducible tensor and its applications},
  author = {Lihua You and Xiaohua Huang and Xiying Yuan},
  journal= {arXiv preprint arXiv:1807.11224},
  year   = {2018}
}

Comments

16 pages. arXiv admin note: text overlap with arXiv:1212.1535 by other authors