Low-Dimensional Faces of Random 0/1-Polytopes


holds for the expected value of φk(P ). The threshold for k = 1 has recently been determined in [1]. In particular, these results indicate that the high face densities often encountered in polyhedral combinatorics (e.g., for the cut-polytopes of complete graphs) should be considered more as a phenomenon of the general geometry of 0/1-polytopes than as a feature of the special combinatorics of the underlying problems.

DOI: 10.1007/978-3-540-25960-2_30

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@inproceedings{Kaibel2004LowDimensionalFO, title={Low-Dimensional Faces of Random 0/1-Polytopes}, author={Volker Kaibel}, booktitle={IPCO}, year={2004} }