11 can be reduced to 10
Number Theory
2025-06-26 v1
Abstract
Laffey and Smigoc proved that for every 2x2 doubly nonnegative integer matrix A, icpr(A) is less than or equal to 11. We prove that 11 can be replaced by 10, and show that for many small matrices, even by 9.15
Cite
@article{arxiv.2506.19868,
title = {11 can be reduced to 10},
author = {Abraham Berman and Eliyahu Levy},
journal= {arXiv preprint arXiv:2506.19868},
year = {2025}
}