Accession Number:

AD1021088

Title:

Stable Sets, Corner Polyhedra and the Chvatal Closure

Descriptive Note:

Journal Article - Open Access

Corporate Author:

Carnegie Mellon University Pittsburgh United States

Personal Author(s):

Report Date:

2009-07-01

Pagination or Media Count:

8.0

Abstract:

We consider the edge formulation of the stable set problem. We characterize its corner polyhedron, i.e. the convex hull of the points satisfying all the constraints except the non-negativity of the basic variables. We show that the non-trivial inequalities necessary to describe this polyhedron can be derived from one row of the simplex tableau as fractional Gomory cuts. It follows that the split closure is not stronger than the Chvatal closure for the edge relaxation of the stable set problem.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE