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arxiv: 1602.03230 · v2 · pith:JQCNSUSFnew · submitted 2016-02-10 · 🧮 math.CO

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

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keywords spectralboundsordinaryradiusdegreesgivelaplaciansharp
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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.

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