D. Marín-Aragón

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20172021

most citedFrobenius number and minimum genus of numerical semigroups with fixed multiplicity and embedding dimension

1 citations · 1 across the 3 of their papers we have counts for

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math.AC2019

Union of sets of lengths of numerical semigroups

J. I. García-García, D. Marín-Aragón, A. Vigneron-Tenorio

Let $S = ⟨ a_{1}, \dots, a_{p} ⟩$ be a numerical semigroup, $s \in S$ and $z (s)$ its set of factorizations. The set of length is denoted by ${\mathcal L}(s)=\{{\tt L}(x_1,…

math.AC2017★ 1 cited

Frobenius number and minimum genus of numerical semigroups with fixed multiplicity and embedding dimension

J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2

Fixed two positive integers m and e, some algorithms for computing the minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embeddi…

math.AC2017

Semigroups with fixed multiplicity and embedding dimension

J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2

Given $m \in N,$ a numerical semigroup with multiplicity $m$ is called packed numerical semigroup if its minimal generating set is included in ${m, m + 1, \dots, 2 m - 1} .$ In…