A homogeneous polynomial associated with general hypergraphs and its applications - Details

author：

Hou, Yuan (Hou, Yuan.) ^[1] (Scholars：侯远) | Chang, An (Chang, An.) ^[2] (Scholars：常安) | Zhang, Lei (Zhang, Lei.) ^[3]

Indexed by：

EI Scopus SCIE

Abstract：

In　this　paper,　we　define　a　homogeneous　polynomial　for　a　general　hypergraph,　and　establish　a　remarkable　connection　between　clique　number　and　the　homogeneous　polynomial　of　a　general　hypergraph.　For　a　general　hypergraph,　we　explore　some　inequality　relations　among　spectral　radius,　clique　number　and　the　homogeneous　polynomial.　We　also　give　lower　and　upper　bounds　on　the　spectral　radius　of　a　general　hypergraph　in　terms　of　the　clique　number.　(C)　2020　Elsevier　Inc.　All　rights　reserved.

Keyword：

Adjacency tensor Clique number General hypergraph Spectral radius

Community：

[ 1 ] [Hou, Yuan]Fuzhou Univ, Dept Comp Engn, Zhicheng Coll, Fuzhou, Fujian, Peoples R China
[ 2 ] [Hou, Yuan]Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou, Fujian, Peoples R China
[ 3 ] [Chang, An]Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou, Fujian, Peoples R China
[ 4 ] [Zhang, Lei]Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou, Fujian, Peoples R China