3 papers
math.CO2011
The set of numerical semigroups of a given genus
V. Blanco, J. C. Rosales
In this paper we present a new approach to construct the set of numerical semigroups with a fixed genus. Our methodology is based on the construction of the set of numerical semigr…
math.AC2011
A semilattice structure for the set of numerical semigroups with fixed Frobenius number
V. Blanco, J. C. Rosales
We present a procedure to enumerate the whole set of numerical semigroups with a given Frobenius number F, S(F). The methodology is based on the construction of a partition of S(F)…
math.NT2011
The tree of irreducible numerical semigroups with fixed Frobenius number
V. Blanco, J. C. Rosales
In this paper we present a procedure to build the set of irreducible numerical semigroups with a fixed Frobenius number. The construction gives us a rooted tree structure for this…