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

Biao Mo; Bo Zhou; Hongying Lin; Weiming Weng

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

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arxiv 1602.03230 v2 pith:JQCNSUSF submitted 2016-02-10 math.CO

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

Hongying Lin , Biao Mo , Bo Zhou , Weiming Weng This is my paper

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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.

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

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