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arXiv · 1809.06160

Equitable Partition Theorem of Tensors and Spectrum of Generalized Power Hypergraphs

Ya-Lei Jin·Jie Zhang·Xiao-Dong Zhang
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Abstract

In this paper, we present an equitable partition theorem of tensors, which gives the relations between $H$-eigenvalues of a tensor and its quotient equitable tensor and extends the equitable partitions of graphs to hypergraphs. Furthermore, with the aid of it, some properties and $H$-eigenvalues of the generalized power hypergraphs are obtained, which extends some known results, including some results of Yuan, Qi and Shao.

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Ya-Lei Jin, Jie Zhang, Xiao-Dong Zhang. 2018-09-17. Equitable Partition Theorem of Tensors and Spectrum of Generalized Power Hypergraphs. https://arxiv.org/abs/1809.06160

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