Fooling sets and the Spanning Tree polytope

@article{Khoshkhah2017FoolingSA,
  title={Fooling sets and the Spanning Tree polytope},
  author={Kaveh Khoshkhah and Dirk Oliver Theis},
  journal={Inf. Process. Lett.},
  year={2017},
  volume={132},
  pages={11-13}
}
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4 Citations
Background Citations
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4 Citations

On the Combinatorial Lower Bound for the Extension Complexity of the Spanning Tree Polytope

On some problems related to 2-level polytopes

This thesis investigates a number of problems related to 2-level polytopes, in particular regarding their combinatorial structure and extension complexity, and gives an output-efficient algorithm to write down extended formulations for the stable set polytope of perfect graphs.

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Extension Complexity of Stable Set Polytopes of Bipartite Graphs

This paper proves that the lower bound of the extension complexity of a polytope P is \(\varOmega (n \log n)\) when G is the incidence graph of a finite projective plane and the upper bound is \(O(\frac{n^2}{\log n})\), which is an improvement when G has quadratically many edges.

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On the Combinatorial Lower Bound for the Extension Complexity of the Spanning Tree Polytope

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This report documents the program and the outcomes of Dagstuhl Seminar 15082 "Limitations of convex programming: lower bounds on extended formulations and factorization ranks" held in February 2015.…