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.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…
math.AC2010
m-irreducible numerical semigroups
V. Blanco, J. C. Rosales
In this paper we introduce the notion of m-irreducibility that extends the standard concept of irreducibility of a numerical semigroup when the multiplicity is fixed. We analyze th…