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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.
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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:
SCOPUS Cited Count: 2
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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