24 citations · 78 across the 32 of their papers we have counts for
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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…
On the enumeration of the set of atomic numerical semigroups with fixed Frobenius number
Aureliano M. Robles-Pérez, José Carlos Rosales
A numerical semigroup is irreducible if it cannot be obtained as intersection of two numerical semigroups containing it properly. If we only consider numerical semigroups with the…
Semigroups with fixed multiplicity and embedding dimension
J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías +2
Given a numerical semigroup with multiplicity is called packed numerical semigroup if its minimal generating set is included in In…
The Frobenius number for sequences of triangular and tetrahedral numbers
Aureliano M. Robles-Pérez, José Carlos Rosales
We compute the Frobenius number for sequences of triangular and tetrahedral numbers. In addition, we study some properties of the numerical semigroups associated to those sequences…