The set of numerical semigroups of a given multiplicity and Frobenius number

DOI10.4171/PM/2064MaRDI QIDQ2244853

Ignacio Ojeda Martínez de Castilla, Manuel Batista Branco, José Carlos Rosales

Publication date: 12 November 2021

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05551

zbMATH Keywords

multiplicitygenusnumerical semigroupFrobenius numberirreducible numerical semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) The Frobenius problem (11D07)

Related Items

Distribution of genus among numerical semigroups with fixed Frobenius number, Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number, Quasi-polynomial growth of numerical and affine semigroups with constrained gaps, Counting numerical semigroups by Frobenius number, multiplicity, and depth

Uses Software

• GAP
• numericalsgps
• NumericalSemigroupsWithGenus
• nsgtree
• NumericMonoid
• RGD-algorithm

Cites Work

• Unnamed Item
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• numericalsgps, a GAP package for numerical semigroups
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