Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs

preprint2016arXivOpen access

Abstract

We give sharp upper bounds for the ordinary spectral radius and signless Laplacian spectral radius of a uniform hypergraph in terms of the average 22-degrees or degrees of vertices, respectively, and we also give a lower bound for the ordinary spectral radius. We also compare these bounds with known ones.

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