On the spectral radii of the unicyclic hypergraphs with fixed matching number

Guanglong Yu; Chao Yan; Yarong Wu; Hailiang Zhang

On the spectral radii of the unicyclic hypergraphs with fixed matching number

Combinatorics 2019-06-26 v1

Authors: Guanglong Yu , Chao Yan , Yarong Wu , Hailiang Zhang

Abstract

We determine the unique hypergraphs with maximum spectral radius among all connected $k$ -uniform ( $k\geq 3$ ) unicyclic hypergraphs with matching number at least $z$ , and among all connected $k$ -uniform ( $k\geq 3$ ) unicyclic hypergraphs with a given matching number, respectively.

Keywords

spectral radius unicyclic hypergraphs matching number k-uniform hypergraphs extremal hypergraphs

Cite

@article{arxiv.1906.10614,
  title  = {On the spectral radii of the unicyclic hypergraphs with fixed matching number},
  author = {Guanglong Yu and Chao Yan and Yarong Wu and Hailiang Zhang},
  journal= {arXiv preprint arXiv:1906.10614},
  year   = {2019}
}

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15 pages

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