English

Some results of strongly primitive tensors

Combinatorics 2017-05-15 v1

Abstract

In this paper, we show that an order mm dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order mm dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly primitive tensors with n3n\geq 3, and propose some problems for further research.

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Cite

@article{arxiv.1705.04554,
  title  = {Some results of strongly primitive tensors},
  author = {Lihua You and Yafei Chen and Pingzhi Yuan},
  journal= {arXiv preprint arXiv:1705.04554},
  year   = {2017}
}

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15pages