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On Determining Minimal Spectrally Arbitrary Patterns

Michael S. Cavers·In-Jae Kim·Bryan L. Shader·Kevin N. Vander Meulen
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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.

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Michael S. Cavers, In-Jae Kim, Bryan L. Shader, Kevin N. Vander Meulen. 2005-08-11. On Determining Minimal Spectrally Arbitrary Patterns. https://arxiv.org/abs/math/0508207

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