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math.CO2019★ 3 cited
Set of independencies and Tutte polynomial of matroids over a domain
Alessio Borzì, Ivan Martino
In this work, we study matroids over a domain and several classical combinatorial and algebraic invariants related. We define their Grothendieck-Tutte polynomial $T_{\mathcal{M}}(x…
math.AC2019
Patterns on the numerical duplication by their admissibility degree
Alessio Borzì
We develop the theory of patterns on numerical semigroups in terms of the admissibility degree. We prove that the Arf pattern induces every strongly admissible pattern, and determi…