The set of numerical semigroups of a given genus

Details The set of numerical semigroups of a given genus The set of numerical semigroups of a given genus

2011-06-08

arxiv.org/abs/1106.1527v1

Mathematics

Combinatorics

10 pages

Scientific paper

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 semigroups with fixed Frobenius number and genus. An equivalence relation is given over this set and a tree structure is defined for each equivalence class. We also provide a more efficient algorithm based in the translation of a numerical semigroup to its so-called Kunz-coordinates vector.

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