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[期刊论文]

A homogeneous polynomial associated with general hypergraphs and its applications

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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

Reprint 's Address:

  • 常安

    [Chang, An]Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou, Fujian, Peoples R China

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Related Article:

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 Discipline: MATHEMATICS;

ESI HC Threshold:50

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

30 Days PV: 1

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管理员  2024-08-19 14:25:18  更新被引

管理员  2024-02-08 20:27:48  更新被引

管理员  2023-09-17 03:46:47  更新被引

管理员  2023-09-17 03:46:46  更新被引

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