The tree of irreducible numerical semigroups with fixed Frobenius number

Details The tree of irreducible numerical semigroups with fixed Frobenius number The tree of irreducible numerical semigroups with fixed Frobenius number

2011-05-11

arxiv.org/abs/1105.2147v1

Mathematics

Number Theory

10 pages

Scientific paper

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.

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