The tree of irreducible numerical semigroups with fixed Frobenius number

被引：29

作者：

Blanco, Victor ^{[1
]}

Carlos Rosales, Jose ^{[1
]}

机构：

[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain

来源：

FORUM MATHEMATICUM | 2013年 / 25卷 / 06期

关键词：

Numerical semigroup; irreducible numerical semigroup; Frobenius number;

D O I：

10.1515/FORM.2011.151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1249 / 1261

页数：13

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