Algebraic Polytopes in Normaliz

DOI10.1007/978-3-030-52200-1_19zbMath1503.52004arXiv2003.04048OpenAlexW3046264094MaRDI QIDQ5039571

Winfried Bruns

Publication date: 13 October 2022

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04048

zbMATH Keywords

polyhedroncomputationreal algebraic number field

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Computational methods for problems pertaining to convex and discrete geometry (52-08)

Uses Software

• FLINT
• nauty
• Normaliz
• Arb
• Traces
• GitHub
• NormalizInterface

Cites Work

• Polytope volume by descent in the face lattice and applications in social choice
• The power of pyramid decomposition in Normaliz
• New computer-based search strategies for extreme functions of the Gomory-Johnson infinite group problem
• Practical graph isomorphism. II.
• Non-very ample configurations arising from contingency tables
• Computing symmetry groups of polyhedra
• Polytopes, Rings, and K-Theory
• Normaliz 2013–2016
• The Maximum Number of Minimal Dominating Sets in a Tree