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Sub-Fibonacci behavior in numerical semigroup enumeration

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Publication:6179328
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DOI10.5070/c63261988zbMath1528.20101arXiv2202.05755MaRDI QIDQ6179328

Daniel Zhu

Publication date: 16 December 2023

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05755

zbMATH Keywords

graph homomorphismgenusnumerical semigroupKunz coordinate


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Commutative semigroups (20M14) Asymptotic enumeration (05A16)


Related Items

Counting numerical semigroups by Frobenius number, multiplicity, and depth



Cites Work

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  • Constructing numerical semigroups of a given genus.
  • Fibonacci-like growth of numerical semigroups of a given genus.
  • Gapsets and numerical semigroups
  • Distribution of genus among numerical semigroups with fixed Frobenius number
  • The proportion of Weierstrass semigroups
  • Degree asymptotics of the numerical semigroup tree.
  • Fibonacci-like behavior of the number of numerical semigroups of a given genus.
  • The Bipartite Swapping Trick on Graph Homomorphisms
  • SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS
  • The right-generators descendant of a numerical semigroup
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