The α-spectral radius of general hypergraphs

作者：

Highlights：

• A upper bound is given for the α-spectral radius of connected irregular hypergraphs.

• Three local transformations of hypergraphs are proposed to increase the α-spectral radius.

• The unique hypertree with the largest α-spectral radius is determined.

• The unique hypergraph with the largest α-spectral radius is determined over all hypergraphs of given number of pendent edges.

摘要

•A upper bound is given for the α-spectral radius of connected irregular hypergraphs.•Three local transformations of hypergraphs are proposed to increase the α-spectral radius.•The unique hypertree with the largest α-spectral radius is determined.•The unique hypergraph with the largest α-spectral radius is determined over all hypergraphs of given number of pendent edges.

论文关键词：Hypergraph,Adjacency tensor,α-Spectral radius,Hypertrees,Unicyclic hypergraphs,Pendent edge

论文评审过程：Received 19 January 2020, Revised 2 June 2020, Accepted 7 June 2020, Available online 22 June 2020, Version of Record 22 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125449