2 papers
math.CO2008
Towards a Better Understanding of the Semigroup Tree
Maria Bras-Amoros, Stanislav Bulygin
In this paper we elaborate on the structure of the semigroup tree and the regularities on the number of descendants of each node observed earlier. These regularites admit two diffe…
math.CO2008
Bounds on the Number of Numerical Semigroups of a Given Genus
Maria Bras-Amoros
Combinatorics on multisets is used to deduce new upper and lower bounds on the number of numerical semigroups of each given genus, significantly improving existing ones. In particu…