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- Title
An upper bound for the <italic>Z</italic>-spectral radius of adjacency tensors.
- Authors
Wu, Zhi-Yong; He, Jun; Liu, Yan-Min; Tian, Jun-Kang
- Abstract
Let H<inline-graphic></inline-graphic> be a <italic>k</italic>-uniform hypergraph on <italic>n</italic> vertices with degree sequence Δ=d1≥⋯≥dn=δ<inline-graphic></inline-graphic>. In this paper, in terms of degree di<inline-graphic></inline-graphic>, we give a new upper bound for the <italic>Z</italic>-spectral radius of the adjacency tensor of H<inline-graphic></inline-graphic>. Some examples are given to show the efficiency of the bound.
- Subjects
TENSOR algebra; HYPERGRAPHS; EIGENVALUES; MATHEMATICAL bounds; NONNEGATIVE matrices
- Publication
Journal of Inequalities & Applications, 2018, Vol 2018, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-018-1672-4