A remark on an equivalence of two versions of Polya's permanent problem
Rings and Algebras
2020-12-03 v1
Abstract
In 2004, some equivalent versions of Polya's permanent problem were listed in 24 versions. However, there is a flaw on the theorem that affirms an equivalence of version 11 and 12. In order to correct the slip, we provide a characterization when the determinant and permanent of a given nonnegative matrix are equal. Moreover, the new characterization yields necessary and sufficient conditions for the equality of the determinant and permanent of powers of a given nonnegative matrix.
Keywords
Cite
@article{arxiv.2012.01278,
title = {A remark on an equivalence of two versions of Polya's permanent problem},
author = {Ratsiri Sanguanwong and Kiji Rodtes},
journal= {arXiv preprint arXiv:2012.01278},
year = {2020}
}