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

author：

Hou, Y. (Hou, Y..) ^[1] | Chang, A. (Chang, A..) ^[2] | Zhang, L. (Zhang, L..) ^[3]

Indexed by：

Scopus

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.　©　2020　Elsevier　Inc.

Keyword：

Adjacency tensor; Clique number; General hypergraph; Spectral radius

Community：

[ 1 ] [Hou, Y.]Department of Computer Engineering, Fuzhou University Zhicheng College, Fuzhou, Fujian, China
[ 2 ] [Hou, Y.]Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, Fujian, China
[ 3 ] [Chang, A.]Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, Fujian, China
[ 4 ] [Zhang, L.]Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, Fujian, China

Reprint 's Address：

[Chang, A.]Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou UniversityChina

Email：

anchang@fzu.edu.cn

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Source ：

Linear Algebra and Its Applications

ISSN： 0024-3795

Year： 2020

Volume： 591

Page： 72-86

1 . 4 0 1

JCR@2020

1 . 0 0 0

JCR@2023

ESI HC Threshold：50

JCR Journal Grade：2

CAS Journal Grade：3

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count： 2

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 4

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