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On the α-spectral radius of irregular uniform hypergraphs

ABSTRACT For and a uniform hypergraph G, we consider the spectral radius of , which is called the α-spectral radius of G, where and are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give a upper bound for the α-spectral radius of an n-vertex connected irregular k-uniform hypergraph with using number of vertices, maximum degree and diameter.