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An extended formulation for the 1‐wheel inequalities of the stable set polytope.
- Source :
- Networks; Jan2020, Vol. 75 Issue 1, p86-94, 9p
- Publication Year :
- 2020
-
Abstract
- The 1‐wheel inequalities for the stable set polytope were introduced by Cheng and Cunningham. In general, there is an exponential number of these inequalities. We present a new polynomial size extended formulation of the stable set relaxation that includes the odd cycle and 1‐wheel inequalities. This compact formulation allows one to polynomially optimize over a polyhedron instead of handling the separation problem for 1‐wheel inequalities by solving many shortest walk problems and relying on the ellipsoid method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00283045
- Volume :
- 75
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Networks
- Publication Type :
- Academic Journal
- Accession number :
- 140054646
- Full Text :
- https://doi.org/10.1002/net.21906