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author:

Hou, Yuan (Hou, Yuan.) [1] (Scholars:侯远) | Chang, An (Chang, An.) [2] (Scholars:常安) | Shi, Chao (Shi, Chao.) [3]

Indexed by:

Scopus SCIE CSCD

Abstract:

For 0 <=alpha< 1 and ak-uniform hypergraphH, the tensorA(alpha)(H) associated withHis defined asA(alpha)(H) =alpha D(H) + (1- alpha)A(H), whereD(Script capital H) andA(H) are the diagonal tensor of degrees and the adjacency tensor ofH, respectively. The alpha-spectra ofHis the set of all eigenvalues ofA(alpha)(H) and the alpha-spectral radius rho(alpha)(H) is the largest modulus of the elements in the spectrum ofA(alpha)(H). In this paper we define the line graphL(H) of a uniform hypergraphHand prove that rho alpha(H)<= 1 kappa rho alpha(L(H))+1+alpha(Delta-1-delta*k), where Delta and delta* are the maximum degree ofHand the minimum degree ofL(H), respectively. We also generalize some results on alpha-spectra ofG(k,s), which is obtained fromGby blowing up each vertex into ans-set and each edge into ak-set where 1 <= s <= k/2.

Keyword:

alpha-spectra Hypergraph line graph power hypergraph tensor

Community:

  • [ 1 ] [Hou, Yuan]Fuzhou Univ, Dept Comp Engn, Zhicheng Coll, Fuzhou 350000, Peoples R China
  • [ 2 ] [Chang, An]Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou 350000, Peoples R China
  • [ 3 ] [Shi, Chao]Xiamen Univ, Sch Math Sci, Xiamen 361000, Peoples R China

Reprint 's Address:

  • 常安

    [Chang, An]Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou 350000, Peoples R China

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Source :

ACTA MATHEMATICA SINICA-ENGLISH SERIES

ISSN: 1439-8516

CN: 11-2039/O1

Year: 2020

Issue: 7

Volume: 36

Page: 842-850

0 . 9 5 5

JCR@2020

0 . 8 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:50

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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