English

Enumerating integer points in polytopes with bounded subdeterminants

Combinatorics 2021-08-12 v3 Optimization and Control

Abstract

We show that one can enumerate the vertices of the convex hull of integer points in polytopes whose constraint matrices have bounded and nonzero subdeterminants, in time polynomial in the dimension and encoding size of the polytope. This extends a previous result by Artmann et al. who showed that integer linear optimization in such polytopes can be done in polynomial time.

Keywords

Cite

@article{arxiv.2102.09994,
  title  = {Enumerating integer points in polytopes with bounded subdeterminants},
  author = {Hongyi Jiang and Amitabh Basu},
  journal= {arXiv preprint arXiv:2102.09994},
  year   = {2021}
}