On the seeds and the great-grandchildren of a numerical semigroup

DOI10.1090/mcom/3881arXiv2306.14034MaRDI QIDQ6076252

Maria Bras-Amorós

Publication date: 23 October 2023

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.14034

zbMATH Keywords

seedstree of numerical semigroup

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Commutative semigroups (20M14) Enumerative combinatorics (05A99) Ordered semigroups and monoids (06F05)

Cites Work

• Near-misses in Wilf's conjecture
• Bounds on the number of numerical semigroups of a given genus
• Numerical semigroups.
• On a question of Eliahou and a conjecture of Wilf
• Wilf's conjecture and Macaulay's theorem
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Towards a better understanding of the semigroup tree
• New Eliahou semigroups and verification of the Wilf conjecture for genus up to 65
• Exploring the tree of numerical semigroups
• A Circle-Of-Lights Algorithm for the "Money-Changing Problem"
• Computation of numerical semigroups by means of seeds
• The right-generators descendant of a numerical semigroup
• Conjecture of Wilf: A Survey

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