On Determining Minimal Spectrally Arbitrary Patterns
Rings and Algebras
2007-05-23 v1 Combinatorics
Abstract
In this paper we present a new family of minimal spectrally arbitrary patterns which allow for arbitrary spectrum by using the Nilpotent-Jacobian method. The novel approach here is that we use the Intermediate Value Theorem to avoid finding an explicit nilpotent realization of the new minimal spectrally arbitrary patterns.
Cite
@article{arxiv.math/0508207,
title = {On Determining Minimal Spectrally Arbitrary Patterns},
author = {Michael S. Cavers and In-Jae Kim and Bryan L. Shader and Kevin N. Vander Meulen},
journal= {arXiv preprint arXiv:math/0508207},
year = {2007}
}
Comments
8 pages