一般超图规范化拉普拉斯张量的谱性质
The Properties of the Spectra of Normalized Laplace Tensor in General Hypergraphs
The normalized Laplacian tensor of hypergraphs has a wide range of applications in multi class clustering problems involving hypergraph models. In this paper, we prove that if is a connected general hypergraph with rank ()=, then the spectrum of the adjacency tensor of is symmetric if and only if is even and is odd-colorable. Furthermore, we give a characterization of the general hypergraphs with the normalized Laplace spectral radius 2 in terms of the odd-colorability of general hypergraphs.
spectra of hypergraphs / tensor product / odd-colorable
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