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

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摘要

We give sharp upper bounds for the ordinary spectral radius and signless Laplacian spectral radius of a uniform hypergraph in terms of the average 2-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.

论文关键词:Tensor,Eigenvalues of tensors,Uniform hypergraph,Average 2-degree,Adjacency tensor,Signless Laplacian tensor

论文评审过程:Received 13 January 2016, Revised 20 February 2016, Accepted 13 March 2016, Available online 18 April 2016, Version of Record 18 April 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.03.016