Wilf’s conjecture in fixed multiplicity

DOI10.1142/S021819672050023XzbMath1481.20207arXiv1903.04342OpenAlexW2997986669WikidataQ123219829 ScholiaQ123219829MaRDI QIDQ3299600

Christopher O'Neill, Dane Wilburne, Winfried Bruns, Pedro A. García Sánchez

Publication date: 24 July 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04342

zbMATH Keywords

numerical semigroupWilf's conjectureKunz polyhedron

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Computational aspects related to convexity (52B55) Commutative semigroups (20M14) Computational methods for problems pertaining to group theory (20-08)

Related Items (11)

Automorphism groups and normal forms in Normaliz ⋮ Numerical semigroups, polyhedra, and posets I: the group cone ⋮ A new face iterator for polyhedra and for more general finite locally branched lattices ⋮ A graph-theoretic approach to Wilf's conjecture ⋮ Numerical semigroups, polyhedra, and posets. III: Minimal presentations and face dimension ⋮ Apéry sets and the ideal class monoid of a numerical semigroup ⋮ Conjecture of Wilf: A Survey ⋮ Length density and numerical semigroups ⋮ Numerical semigroups, polyhedra, and posets. II: Locating certain families of semigroups ⋮ On numerical semigroups with at most 12 left elements ⋮ On the Frobenius number of certain numerical semigroups

Uses Software

• Normaliz
• numericalsgps
• nsgtree
• NumericMonoid

Cites Work

• Numerical semigroups.
• Wilf's conjecture and Macaulay's theorem
• Numerical semigroups with large embedding dimension satisfy Wilf's conjecture.
• Exploring the tree of numerical semigroups
• SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS
• Polytopes, Rings, and K-Theory
• On the linear diophantine problem of Frobenius.
• A Circle-Of-Lights Algorithm for the "Money-Changing Problem"
• Lectures on Polytopes
• Wilf's conjecture for numerical semigroups
• numericalsgps, a GAP package for numerical semigroups
• On numerical semigroups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Wilf’s conjecture in fixed multiplicity