A conjecture on the primitive degree of Tensors
Combinatorics
2016-11-25 v1
Abstract
In this paper, we prove: Let A be a nonnegative primitive tensor with order m and dimension n. Then its primitive degree R(A)\leq (n-1)^2+1, and the upper bound is sharp. This confirms a conjecture of Shao [7].
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Cite
@article{arxiv.1310.8461,
title = {A conjecture on the primitive degree of Tensors},
author = {Pingzhi Yuany and Zilong He and Lihua You},
journal= {arXiv preprint arXiv:1310.8461},
year = {2016}
}
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8 pages