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Brauer-type upper bounds for z-spectral radius of weakly symmetric nonnegative tensors

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In this paper, we establish four Brauer-type upper bounds and a lower bound for Z spectral radius of weakly symmetric nonnegative tensors without irreducible assumption. These bounds are shown to… Click to show full abstract

In this paper, we establish four Brauer-type upper bounds and a lower bound for Z spectral radius of weakly symmetric nonnegative tensors without irreducible assumption. These bounds are shown to be sharper than the existing bounds via running examples. As an application, an upper bound on the largest Z -eigenvalues of the adjacency tensors for uniform hypergraphs is provided. Mathematics subject classification (2010): 15A18, 15A69.

Keywords: spectral radius; radius weakly; upper bounds; weakly symmetric; type upper; brauer type

Journal Title: Journal of Mathematical Inequalities
Year Published: 2019

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