• numericalsgps

• Referenced in 130 articles [sw00640]
• computer algebra system GAP and to numerical semigroups, this note provides a brief description ... package designed to work with numerical semigroups...
• NumericalSemigroupsWithGenus

• Referenced in 58 articles [sw06891]
• Constructing the set of all numerical semigroups containing a given numerical semigroup In order ... construct the set of numerical semigroups containing a fixed numerical semigroup S, one first constructs ... sets S∪{g} that are numerical semigroups with g a positive integer. This is achieved ... adding each of them to the numerical semigroup. Then we repeat the process for each...
• nsgtree

• Referenced in 21 articles [sw15641]
• Exploring the tree of numerical semigroups In this paper we describe an algorithm visiting ... numerical semigroups up to a given genus using a well-suited representation. The interest ... optimizations: we obtain the number of numerical semigroups of genus $gleq 67$ and we confirm...
• RGD-algorithm

• Referenced in 2 articles [sw34886]
• algorithm to compute the number of numerical semigroups of each given genus ... right-generators descendant of a numerical semigroup. For a numerical semigroup, we encode ... corresponding sets for its children in the semigroup tree. This allows us to present ... second nonzero element of a numerical semigroup and the particular pseudo-ordinary case in which...
• NumericalSemigroupsWithFrobeniusNumber

• Referenced in 1 article [sw06892]
• Constructing numerical semigroups from others 5.1 Adding and removing elements of a numerical semigroup ... show how to construct new numerical semigroups from a given numerical semigroup. Two dual operations ... removes a minimal generator from a numerical semigroup. The second adds a special...