Arithmetical structures on dominated polynomials

Carlos E. Valencia; Ralihe R. Villagr\'an

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Arithmetical structures on dominated polynomials

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arxiv 2202.07744 v1 pith:YN44GOTW submitted 2022-02-15 math.CO math.NT

Carlos E. Valencia , Ralihe R. Villagrán This is my paper · ORCID

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keywords arithmeticaldominatedstructuresalgorithmcomputespolynomialpolynomialsalgorithmic

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In~\cite{algorithmic} was given an algorithm that computes arithmetical structures on matrices. We use some of the ideas contained there to get an algorithm that computes arithmetical structures over dominated polynomials. A dominated polynomial is an integer multivariate polynomial such that contains a monomial which is divided by all its monomials.

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