Arithmetical structures on dominated polynomials

Arithmetical structures on matrices were introduced in Corrales H, Valencia CE (Arithmetical graphs. Linear Algebra Appl, 536:120–151, 2018), which are finite whenever the matrix is irreducible. We generalize algorithm that computes arithmetical given CE, Villagrán RR (Algorithmic aspects of structures. Algeb 640:191–208, 2022), to an dominated polynomials. A polynomial integer multivariate polynomial, such it contains a monomial, divided by all its monomials. give example not determinant and show how works it.