An upper bound for the Z-spectral radius of adjacency tensors

摘要

Let ℋ be a k-uniform hypergraph on n vertices with degree sequence Δ = d1 ≥  ⋯  ≥ dn = δ. In this paper, in terms of degree di, we give a new upper bound for the Z-spectral radius of the adjacency tensor of ℋ. Some examples are given to show the efficiency of the bound.