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arxiv: 1605.05942 · v1 · submitted 2016-05-19 · 🧮 math.CO

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Spectral properties of general hypergraphs

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keywords hypergraphsspectralgeneraltensorlaplacianpropertiesadjacencybounds
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In this paper, we investigate spectral properties of the adjacency tensor, Laplacian tensor and signless Laplacian tensor of general hypergraphs (including uniform and non-uniform hypergraphs). We obtain some bounds for the spectral radius of general hypergraphs in terms of vertex degrees, and give spectral characterizations of odd-bipartite hypergraphs.

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