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The tree of irreducible numerical semigroups with fixed Frobenius number

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 set. Furthermore, by using the notion of Kunz-coordinates vector we translate the problem of finding such a tree into the problem of manipulating 0-1 vectors with as many component as the Frobenius number.

preprint2011arXivOpen access
V. BlancoJ. C. Rosales
math.COmath.ACmath.NT
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V. BlancoJ. C. Rosales

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