How to Find the Convex Hull of All Integer Points in a Polyhedron?
Combinatorics
2020-10-27 v1 Computational Geometry
Optimization and Control
Abstract
We propose a cut-based algorithm for finding all vertices and all facets of the convex hull of all integer points of a polyhedron defined by a system of linear inequalities. Our algorithm DDM Cuts is based on the Gomory cuts and the dynamic version of the double description method. We describe the computer implementation of the algorithm and present the results of computational experiments comparing our algorithm with a naive one.
Keywords
Cite
@article{arxiv.2010.13147,
title = {How to Find the Convex Hull of All Integer Points in a Polyhedron?},
author = {S. O. Semenov and N. Yu. Zolotykh},
journal= {arXiv preprint arXiv:2010.13147},
year = {2020}
}