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arxiv: math/0508207 · v1 · submitted 2005-08-11 · 🧮 math.RA · math.CO

On Determining Minimal Spectrally Arbitrary Patterns

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keywords arbitraryminimalpatternsspectrallyallowapproachavoiddetermining
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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.

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