@incollection{, author = {Brieden, Andreas; Gritzmann, Peter}, title = {On the inapproximability of polynomial programming, the geometry of stable sets, and the power of relaxation}, editor = {Aronov, Boris; Basu, Saugata; Pach, Janos; Sharir, Micha}, booktitle = {Discrete and Computational Geometry : The Goodman-Pollack Festschrift}, series = {Discrete and Computational Geometry. Algorithms and Combinatorics}, journal = {}, address = {Berlin ; Heidelberg}, publisher = {Springer}, edition = {}, year = {2003}, isbn = {978-3-642-62442-1}, volume = {25}, number = {}, pages = {301-311}, url = {}, doi = {10.1007/978-3-642-55566-4_13}, keywords = {}, abstract = {The present paper introduces the geometric rank as a measure for the quality of relaxations of certain combinatorial optimization problems in the realm of polyhedral combinatorics. In particular, this notion establishes a tight relation between the maximum stable set problem from combinatorial optimization, polynomial programming from integer non linear programming and norm maximization, a basic problem from convex maximization and computational convexity.}, note = {}, institution = {Universität der Bundeswehr München, Fakultät für Wirtschafts- und Organisationswissenschaften, WOW 1 - Institut für Controlling, Finanz- und Risikomanagement, Professur: Brieden, Andreas}, }