English

On the lattice programming gap of the group problems

Optimization and Control 2015-01-27 v2

Abstract

We show that computing the lattice programming gap of the group problems is NP-hard when the dimension is a part of input. We also obtain lower and upper bounds for the gap in terms of the cost vector and the determinant of the lattice.

Keywords

Cite

@article{arxiv.1404.6967,
  title  = {On the lattice programming gap of the group problems},
  author = {Iskander Aliev},
  journal= {arXiv preprint arXiv:1404.6967},
  year   = {2015}
}
R2 v1 2026-06-22T04:00:22.471Z