English

Generalized minor inequalities for the set covering polyhedron related to circulant matrices

Combinatorics 2014-06-19 v1

Abstract

We study the set covering polyhedron related to circulant matrices. In particular, our goal is to characterize the first Chv\'atal closure of the usual fractional relaxation. We present a family of valid inequalities that generalizes the family of minor inequalities previously reported in the literature and includes new facet-defining inequalities. Furthermore, we propose a polynomial time separation algorithm for a particular subfamily of these inequalities.

Keywords

Cite

@article{arxiv.1406.4560,
  title  = {Generalized minor inequalities for the set covering polyhedron related to circulant matrices},
  author = {Paola B. Tolomei and Luis M. Torres},
  journal= {arXiv preprint arXiv:1406.4560},
  year   = {2014}
}