On Determining Minimal Spectrally Arbitrary Patterns

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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.
8 pages

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Rings and Algebras, Combinatorics, CO, RA

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http://salesiana.dossiersoluciones.com/handle/123456789/76011

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508207
 http://arxiv.org/abs/math/0508207

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arXiv