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author:

Hou, Y. (Hou, Y..) [1] | Chang, A. (Chang, A..) [2] | Shi, C. (Shi, C..) [3]

Indexed by:

Scopus CSCD

Abstract:

For 0 ≤ α < 1 and a k-uniform hypergraph H, the tensor Aα(H) associated with H is defined as Aα(H) = αD(H) + (1 − α)A(H), where D(ℋ) and A(H) are the diagonal tensor of degrees and the adjacency tensor of H, respectively. The α-spectra of H is the set of all eigenvalues of Aα(H) and the α-spectral radius ρα(H) is the largest modulus of the elements in the spectrum of Aα(H). In this paper we define the line graph L(H) of a uniform hypergraph H and prove that ρα(H)≤1κρα(L(H))+1+α(Δ−1−δ*k), where Δ and δ* are the maximum degree of H and the minimum degree of L(H), respectively. We also generalize some results on α-spectra of Gk,s, which is obtained from G by blowing up each vertex into an s-set and each edge into a k-set where 1 ≤ s ≤ k/2. © 2020, Springer-Verlag GmbH Germany & The Editorial Office of AMS.

Keyword:

05C50; Hypergraph; line graph; power hypergraph; tensor; α-spectra

Community:

  • [ 1 ] [Hou, Y.]Department of Computer Engineering, Fuzhou University Zhicheng College, Fuzhou, 350000, China
  • [ 2 ] [Chang, A.]Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, 350000, China
  • [ 3 ] [Shi, C.]School of Mathematical Sciences, Xiamen University, Xiamen, 361000, China

Reprint 's Address:

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

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Source :

Acta Mathematica Sinica, English Series

ISSN: 1439-8516

Year: 2020

Issue: 7

Volume: 36

Page: 842-850

0 . 9 5 5

JCR@2020

0 . 8 0 0

JCR@2023

ESI HC Threshold:50

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

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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