Small Contingency Tables with Large Gaps

@article{Sullivant2005SmallCT,
  title={Small Contingency Tables with Large Gaps},
  author={Seth Sullivant},
  journal={SIAM J. Discret. Math.},
  year={2005},
  volume={18},
  pages={787-793}
}
  • S. Sullivant
  • Published 3 May 2004
  • Mathematics
  • SIAM J. Discret. Math.
We construct examples of contingency tables on n binary random variables where the gap between the linear programming lower/upper bound and the true integer lower/upper bounds on cell entries is exponentially large. These examples provide evidence that linear programming may not be an effective heuristic for detecting disclosures when releasing margins of multiway tables. 
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Examples of small contingency tables on binary random variables with large integer programming gaps on the lower bounds of cell entries were constructed by Sullivant. We argue here that the margins
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