The α-spectral radius of f-connected general hypergraphs

Cunxiang Duan and Ligong Wang

Applied Mathematics and Computation, 2020, vol. 382, issue C

Abstract: For a connected hypergraph G with adjacency tensor A(G) and degree diagonal tensor D(G), and any real α satisfying 0 ≤ α ≤ 1, define the tensor Aα(G) as Aα(G)=αD(G)+(1−α)A(G). The largest modulus of the eigenvalues of Aα(G), is called the α-spectral radius of G, denoted by λα(G). In this paper, we mainly obtain an upper bound of the α-spectral radius of a nonregular f-connected general linear hypergraph G. And we give an upper bound of the α-spectral radius of a subhypergraph of a d-regular f-connected general hypergraph.

Keywords: α-Spectral radius; f-Connected; Subhypergraphs; Hypergraphs (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:382:y:2020:i:c:s0096300320303027

DOI: 10.1016/j.amc.2020.125336

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