English

Hyperplane arrangements in polymake

Combinatorics 2020-03-31 v1 Discrete Mathematics

Abstract

Hyperplane arrangements form the latest addition to the zoo of combinatorial objects dealt with by polymake. We report on their implementation and on a algorithm to compute the associated cell decomposition. The implemented algorithm performs significantly better than brute force alternatives, as it requires less convex hulls computations.

Keywords

Cite

@article{arxiv.2003.13548,
  title  = {Hyperplane arrangements in polymake},
  author = {Lars Kastner and Marta Panizzut},
  journal= {arXiv preprint arXiv:2003.13548},
  year   = {2020}
}

Comments

9 pages, 2 figures, 1 table

R2 v1 2026-06-23T14:32:10.373Z