A. Letchford, P. Ventura

The stable set polytope is a fundamental object in combinatorial optimisation. Among the many valid inequalities that are known for it, the clique-family inequalities play an important role. Pecher and Wagler showed that the clique-family inequalities can be strengthened under certain conditions. We show that they can be strengthened even further, using a surprisingly simple mixed-integer rounding argument. Examples are given of new facet-defining inequalities that can be derived in this way.

Keywords: stable set problem, cutting planes, polyhedral combinatorics


TC2 Integer Optimization
June 10, 2021  12:30 PM
2 - LV Kantorovich

Latest news

  • 6/5/21
    Conference abstract book

Cookie policy

We use cookies in order to be able to identify and authenticate you on the website. They are necessary for the correct functioning of it, and therefore they can not be disabled. If you continue browsing the website, you are agreeing with their acceptance, as well as our Privacy Policy.

Additionally, we use Google Analytics in order to analyze the website traffic. They also use cookies and you can accept or refuse them with the buttons below.

You can read more details about our Cookie Policy and our Privacy Policy.