The tree of irreducible numerical semigroups with fixed Frobenius number
Number Theory
2011-05-12 v1 Commutative Algebra
Combinatorics
Abstract
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.
Cite
@article{arxiv.1105.2147,
title = {The tree of irreducible numerical semigroups with fixed Frobenius number},
author = {V. Blanco and J. C. Rosales},
journal= {arXiv preprint arXiv:1105.2147},
year = {2011}
}
Comments
10 pages