Estimating the number of vertices of a polyhedron

@article{Avis2000EstimatingTN,
  title={Estimating the number of vertices of a polyhedron},
  author={David Avis and Luc Devroye},
  journal={Inf. Process. Lett.},
  year={2000},
  volume={73},
  pages={137-143}
}
Given a polyhedronP by a list of inequalities we develop unbiased estimates of the number of vertices and bases of P . The estimates are based on applying tree estimation methods to the reverse search technique. The time to generate an unbiased estimate is essentially bounded by the time taken to solve a linear program on P with the simplex method. Computational experience is reported. The method can be applied to estimate the output size of other enumeration problems solvable by reverse search… CONTINUE READING
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