Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs

Hongying Lin; Biao Mo; Bo Zhou; Weiming Weng

Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs

Combinatorics 2016-05-20 v2

Authors: Hongying Lin , Biao Mo , Bo Zhou , Weiming Weng

Abstract

We give sharp upper bounds for the ordinary spectral radius and signless Laplacian spectral radius of a uniform hypergraph in terms of the average $2$ -degrees or degrees of vertices, respectively, and we also give a lower bound for the ordinary spectral radius. We also compare these bounds with known ones.

Keywords

uniform hypergraph ordinary spectral radius signless Laplacian spectral radius sharp upper bound lower bound average 2-degree vertex degree

Cite

@article{arxiv.1602.03230,
  title  = {Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs},
  author = {Hongying Lin and Biao Mo and Bo Zhou and Weiming Weng},
  journal= {arXiv preprint arXiv:1602.03230},
  year   = {2016}
}

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