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Extended Formulations in Combinatorial Optimization

by Kaibel, V..

Series: 2011-15, Preprints

90C10 Integer programming
52B12 Special polytopes (linear programming, centrally symmetric, etc.)

The concept of representing a polytope that is associated with some combinatorial optimization problem as a linear projection of a higher-dimensional polyhedron has recently received increasing attention. In this paper (written for the newsletter \Optima of the Mathematical Optimization Society), we provide a brief introduction to this topic and sketch some of the recent developments with respect to both tools for constructing such extended formulations as well as lower bounds on their sizes.

Polyhedral Combinatorics, Projections