Equitable Partition Theorem of Tensors and Spectrum of Generalized Power Hypergraphs
Combinatorics
2018-09-18 v1
Abstract
In this paper, we present an equitable partition theorem of tensors, which gives the relations between -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 -eigenvalues of the generalized power hypergraphs are obtained, which extends some known results, including some results of Yuan, Qi and Shao.
Keywords
Cite
@article{arxiv.1809.06160,
title = {Equitable Partition Theorem of Tensors and Spectrum of Generalized Power Hypergraphs},
author = {Ya-Lei Jin and Jie Zhang and Xiao-Dong Zhang},
journal= {arXiv preprint arXiv:1809.06160},
year = {2018}
}
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16 pages